{"id":9442,"date":"2022-08-29T15:40:05","date_gmt":"2022-08-29T15:40:05","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=9442"},"modified":"2024-04-29T09:59:42","modified_gmt":"2024-04-29T09:59:42","slug":"types-of-triangles-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle","title":{"rendered":"Types of Triangles &#8211; Definitions, Classification, Properties, Examples"},"content":{"rendered":"<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-19597602-c43e-411d-8aaa-fd674eb7282c\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle#0-what-are-the-different-types-of-triangles>What Are the Different Types of Triangles?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle#2-what-is-a-triangle>What Is a Triangle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle#3-basic-properties-of-triangles>Basic Properties of Triangles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle#8-solved-examples-on-types-of-triangles>Solved Examples on Types of Triangles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle#9-practice-problems-on-types-of-triangles>Practice Problems on Types of Triangles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle#10-frequently-asked-questions-about-types-of-triangles>Frequently Asked Questions about Types of Triangles<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-the-different-types-of-triangles\">What Are the Different Types of Triangles?<\/h2>\n\n\n\n<p>A triangle is a closed 2-dimensional shape with three sides. There are mainly 6 different types of triangles.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Based on the lengths of the sides, there are three types of triangles: scalene, isosceles, and equilateral triangles.\u00a0<\/li>\n\n\n\n<li>Based on the measures of its interior angles, there are three types of triangles: acute (if all angles are less than 90\u00b0), right (if one angle is 90\u00b0), and\u00a0 obtuse (if one angle is more than 90\u00b0)<\/li>\n<\/ul>\n\n\n\n<p>The figure given below shows 6 types of triangles and their properties.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"399\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/different-types-of-triangles.png\" alt=\"Different Types of Triangles\" class=\"wp-image-40442\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/different-types-of-triangles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/different-types-of-triangles-300x193.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-coins-of-different-types-and-compare\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/money_is_amount_enough_2_pt.png\" alt=\"Add Coins of Different Types and Compare Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Coins of Different Types and Compare Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/answer-questions-related-to-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_tri_on_side_pt.png\" alt=\"Answer Questions Related to Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Answer Questions Related to Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles-and-rectangles-as-closed-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_triangle_rectangle_2_pt.png\" alt=\"Classify Triangles and Rectangles as Closed Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles and Rectangles as Closed Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div 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data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/money_count_mixed_coins_qrtr_hlf_dollar_pt.png\" alt=\"Count Total Money using Different Types of Coins Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Total Money using Different Types of Coins Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/different-types-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/money_identify_coins_pnd_g1_pt.png\" alt=\"Different Types of Coins Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Different Types of Coins Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-angles-by-their-types\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_types_of_angle_pt.png\" alt=\"Identify Angles by their Types Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Angles by their Types Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-the-type-of-triangles-based-on-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_tri_on_angle_pt.png\" alt=\"Identify the Type of Triangles Based on Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify the Type of Triangles Based on Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-triangles-and-rectangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_amusement_park_18_20_gm.png\" alt=\"Identify Triangles and Rectangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Triangles and Rectangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-triangles-and-squares\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_triangles_squares_pt.png\" alt=\"Identify Triangles and Squares Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Triangles and Squares Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    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the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-what-is-the-classification-of-triangles\">What Is the Classification of Triangles?<\/h2>\n\n\n\n<p>As mentioned earlier, triangles can be classified easily based on the measurement of sides and angles. Triangles can also be classified based on the measurement of both sides and angles. Three ways of classification are:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Based on the lengths of the three sides\u00a0<\/strong><\/li>\n\n\n\n<li><strong>Based on the measurement of three angles<\/strong><\/li>\n\n\n\n<li><strong>Based on the measurement of sides and angles<\/strong><\/li>\n<\/ul>\n\n\n\n<p>A triangle has three sides, interior angles, and vertices. There are different names for triangles depending on the type of classification. These names have the keywords that express the nature and properties of the triangle.<\/p>\n\n\n\n<p>Take a look at the table below to understand triangle classification and the different names of triangles.<strong>\u00a0<\/strong><\/p>\n\n\n\n<div class=\"table-container\">\n  <table class=\"wj-table-class\">\n    <thead>\n      <tr>\n        <th colspan=\"3\">Classification of Triangles<\/th>\n      <\/tr>\n      <tr>\n        <th>Based on sides<\/th>\n        <th>Based on sides and angles<\/th>\n        <th>Based on sides and angles<\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n      <tr>\n        <td>Equilateral Triangle<\/td>\n        <td>Acute Triangle<\/td>\n        <td>Equiangular Triangle<\/td>\n      <\/tr>\n      <tr>\n        <td>Isosceles Triangle<\/td>\n        <td>Right Triangle<\/td>\n        <td>Isosceles Right Triangle<\/td>\n      <\/tr>\n      <tr>\n        <td>Scalene Triangle<\/td>\n        <td>Obtuse Triangle<\/td>\n        <td>Obtuse Isosceles Triangle<\/td>\n      <\/tr>\n      <tr>\n        <td><\/td>\n        <td><\/td>\n        <td>Acute Isosceles Triangle<\/td>\n      <\/tr>\n      <tr>\n        <td><\/td>\n        <td><\/td>\n        <td>Right Scalene Triangle<\/td>\n      <\/tr>\n      <tr>\n        <td><\/td>\n        <td><\/td>\n        <td>Obtuse Scalene Triangle<\/td>\n      <\/tr>\n      <tr>\n        <td><\/td>\n        <td><\/td>\n        <td>Acute Scalene Triangle<\/td>\n      <\/tr>\n    <\/tbody>\n  <\/table>\n<\/div>\n\n<style>\n  .table-container {\n    max-width: 100%;\n    overflow-x: auto;\n  }\n\n  table {\n    width: 100%;\n    border-collapse: collapse;\n    border: 1px solid #000; \/* Set border color to black *\/\n  }\n\n  th,\n  td {\n    padding: 8px;\n    text-align: left;\n    border-bottom: 1px solid #000; \/* Set border color to black *\/\n    border-right: 1px solid #000; \/* Set border color to black *\/\n  }\n\n  th {\n    background-color: #090a4a;\n    color: #fff;\n    font-weight: bold;\n    text-align: center;\n    border-right: 1px solid #000; \/* Set border color to black *\/\n  }\n\n  td:last-child,\n  th:last-child {\n    border-right: none;\n  }\n<\/style>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-amount-using-different-types-of-bills\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-amount-using-different-types-of-bills.jpeg\" alt=\"Guess the Amount Using Different Types of Bills Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-amount-using-different-types-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-amount-using-different-types-of-coins.jpeg\" alt=\"Guess the Amount Using Different Types of Coins Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-amount-using-same-types-of-bills\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-amount-using-same-types-of-bills.jpeg\" alt=\"Guess the Amount Using Same Types of Bills Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-amount-using-same-types-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-amount-using-same-types-of-coins.jpeg\" alt=\"Guess the Amount Using Same Types of Coins Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/rectangles-and-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/rectangles-and-triangles.jpeg\" alt=\"Rectangles and Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/separate-out-the-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/separate-out-the-triangles.jpeg\" alt=\"Separate Out the Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/sort-on-the-basis-of-types-of-corners\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" 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slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-what-is-a-triangle\">What Is a Triangle?<\/h2>\n\n\n\n<p>A triangle is a polygon with three sides. The point where two sides of the triangle meet is called the vertex and forms an interior angle. All triangles have three sides, three vertices, and three interior angles.<\/p>\n\n\n\n<p>Consider a triangle \u25b3ABC with three vertices: A, B, and C.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"283\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Triangle-abc.png\" alt=\"Triangle ABC\" class=\"wp-image-40441\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Triangle-abc.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Triangle-abc-300x137.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-basic-properties-of-triangles\">Basic Properties of Triangles<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A triangle has three interior angles, and the sum of all the interior angles in a triangle is 180\u00b0. This is known as the angle-sum property of a triangle.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A triangle has three sides. The sum of the lengths of any two sides of a triangle is greater than the measure of the third side. This is also known as the triangle inequality property.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The longest side of the triangle is opposite its biggest angle, and the side opposite the smallest angle is the shortest side of the triangle.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-classification-of-triangles-based-on-side-lengths\">Classification of Triangles Based on Side Lengths<\/h2>\n\n\n\n<p>There are 3 types of triangles based on the measure of their sides. We classify the triangles by their sides as equilateral, isosceles, and scalene.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Scalene Triangles\u00a0<\/strong><\/li>\n<\/ul>\n\n\n\n<p>All sides of a scalene triangle are of different lengths. Consequently, the three interior angles are different from each other.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"305\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/scalene-triangles.png\" alt=\"Scalene Triangles\" class=\"wp-image-40443\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/scalene-triangles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/scalene-triangles-300x148.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Isosceles Triangles<\/strong><\/li>\n<\/ul>\n\n\n\n<p>An isosceles triangle has two sides of equal length. The angles opposite to these equal sides are equal.&nbsp;<\/p>\n\n\n\n<p>Two equal sides are known as the legs of the triangle, and the angle formed between them is called the vertex angle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/isosceles-triangles.png\" alt=\"Isosceles Triangles\" class=\"wp-image-40444\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/isosceles-triangles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/isosceles-triangles-300x145.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Equilateral Triangles<\/strong><\/li>\n<\/ul>\n\n\n\n<p>The three sides of an equilateral triangle are of equal length. Consequently, each interior angle of equilateral triangles is equal to 60\u00b0. It is a regular polygon; as the name suggests, it has equal sides and angles.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equilateral-triangles.png\" alt=\"Equilateral Triangles\" class=\"wp-image-40445\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equilateral-triangles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equilateral-triangles-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Let\u2019s quickly summarize!<\/p>\n\n\n\n<p>We classify the triangles by their sides as equilateral, isosceles, and scalene.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"565\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/classification-of-triangles-based-on-the-lengths-of-their-sides.png\" alt=\"Classification of triangles based on the lengths of their sides\" class=\"wp-image-41730\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/classification-of-triangles-based-on-the-lengths-of-their-sides.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/classification-of-triangles-based-on-the-lengths-of-their-sides-300x273.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-classification-of-triangles-based-on-interior-angles\">Classification of Triangles Based on Interior Angles<\/h2>\n\n\n\n<p>In geometry, there are various types of angles based on measurement. The interior angles of a triangle can be of three kinds:&nbsp; acute, right, or obtuse.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"337\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/types-of-angles.png\" alt=\"Types of Angles\" class=\"wp-image-40446\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/types-of-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/types-of-angles-300x163.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Another way to study the classification of triangles is based on angles. As is apparent, every triangle has three angles. The sum of the measures of these angles is 180 degrees. Based on the measure of interior angles, there are three types of triangles.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Acute Triangles:<\/strong><\/li>\n<\/ul>\n\n\n\n<p>All interior angles in an acute triangle are acute angles. Each interior angle measures less than 90\u00b0. Thus, an acute triangle is formed when all three interior angles of a triangle measure less than 90 degrees. Its sides may or may not be equal.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"342\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/acute-triangles.png\" alt=\"Acute Triangles\" class=\"wp-image-40447\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/acute-triangles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/acute-triangles-300x165.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Right Triangles<\/strong><\/li>\n<\/ul>\n\n\n\n<p>A right triangle is one in which at least one of the angles is 90 degrees, and the other two angles are acute. This angle is called a right angle. According to Pythagoras\u2019 theorem, the side of the triangle opposite the right angle is the longest in the right triangle. It is called the hypotenuse.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"339\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/right-triangles.png\" alt=\"Right Triangles\" class=\"wp-image-40448\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/right-triangles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/right-triangles-300x164.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Obtuse Triangles<\/strong><\/li>\n<\/ul>\n\n\n\n<p>A triangle with one interior angle greater than 90\u00b0 or an obtuse angle is called an obtuse triangle. In this case, one of the angles of the triangle is larger than 90 degrees and the sum of the other two angles in the triangle is less than 90 degrees.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"395\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/obtuse-triangles.png\" alt=\"Obtuse Triangles\" class=\"wp-image-40449\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/obtuse-triangles.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/obtuse-triangles-300x191.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p>Let\u2019s summarize! Take a look at the image showing the triangle classification by angles.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"482\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/classification-of-triangles-based-on-angles-acute-obtuse-right.png\" alt=\"Classification of triangles based on angles: acute, obtuse, right\" class=\"wp-image-41731\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/classification-of-triangles-based-on-angles-acute-obtuse-right.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/classification-of-triangles-based-on-angles-acute-obtuse-right-300x233.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-classification-of-triangles-based-on-angles-and-sides\">Classification of Triangles Based on Angles and Sides<\/h2>\n\n\n\n<p>Classification of triangles can be done based on the sides and angles of the triangle.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Equiangular Triangle:<\/strong> An equiangular triangle is one in which all the sides are of equal lengths, and all the triangle angles are of equal measure. It is also known as an equilateral triangle.<\/li>\n\n\n\n<li><strong>Isosceles Right Triangle:<\/strong> In an isosceles right triangle, two sides of a triangle are equal, and any one angle of the triangle is equal to 90 degrees. The two remaining angles are congruent.<\/li>\n\n\n\n<li><strong>Obtuse Isosceles Triangle: <\/strong>An obtuse isosceles triangle has two sides that are equal and one angle that is obtuse.<\/li>\n\n\n\n<li><strong>Acute Isosceles Triangle: <\/strong>In this type of triangle, all three angles are acute, and any two sides of the triangle are equal.<\/li>\n\n\n\n<li><strong>Right Scalene Triangle:<\/strong> A right scalene triangle is one in which any of the angles is a right angle, and all the sides of the triangle are unequal.<\/li>\n\n\n\n<li><strong>Obtuse Scalene Triangle:<\/strong> In this type of triangle, one of the angles is an obtuse angle, and all the sides of the triangle measure differently.<\/li>\n\n\n\n<li><strong>Acute Scalene Triangle: <\/strong>This triangle has three unequal sides and three acute angles. So, it is called an acute scalene triangle.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the types of triangles. They can be classified based on their sides, angles, and both sides and angles. Let\u2019s solve a few examples and practice problems for better comprehension.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-types-of-triangles\">Solved Examples on Types of Triangles<\/h2>\n\n\n\n<p><strong>Example 1: Classify the triangle as equilateral, isosceles, or scalene.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"388\" height=\"173\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-scalene-triangle-1.png\" alt=\"A Scalene Triangle\" class=\"wp-image-40450\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-scalene-triangle-1.png 388w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-scalene-triangle-1-300x134.png 300w\" sizes=\"auto, (max-width: 388px) 100vw, 388px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Examine the lengths of the sides to see if any sides are equal. All sides of the triangle are different from each other.&nbsp;<\/p>\n\n\n\n<p>Therefore, the triangle is scalene.<\/p>\n\n\n\n<p><strong>Example 2: Classify the triangle as acute, right, and obtuse.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"330\" height=\"265\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-acute-triangle.png\" alt=\"An Acute Triangle\" class=\"wp-image-40451\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-acute-triangle.png 330w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-acute-triangle-300x241.png 300w\" sizes=\"auto, (max-width: 330px) 100vw, 330px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Examine the measure of each interior angle of the given triangle and compare it to 90\u00b0. All the angles of the triangle are less than 90\u00b0.&nbsp;&nbsp;<\/p>\n\n\n\n<p>Therefore, the triangle is acute.<\/p>\n\n\n\n<p><strong>Example 3: In an isosceles triangle ABC, \u2220A = 100\u00b0 and \u2220B&nbsp; = \u2220C. Find the measure of&nbsp; \u2220C.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Following the angle sum property of a triangle, we get<\/p>\n\n\n\n<p>\u2220A + \u2220B&nbsp; + \u2220C = 180\u00b0&nbsp;<\/p>\n\n\n\n<p>So, \u2220B&nbsp; + \u2220C = 180\u00b0 &#8211; 100\u00b0 = 80\u00b0<\/p>\n\n\n\n<p>&nbsp;Since \u2220B&nbsp; = \u2220C, measure of \u2220C = 80\u00b0 \u00f7 2 = 40\u00b0<\/p>\n\n\n\n<p><strong>Example 4:<\/strong><strong> If the length of all three sides of a triangle is not equal, identify the type of triangle according to the classification of triangles.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"391\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles-based-on-sides.png\" alt=\"Identifying the type of triangles based on sides\" class=\"wp-image-41732\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles-based-on-sides.png 391w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles-based-on-sides-300x215.png 300w\" sizes=\"auto, (max-width: 391px) 100vw, 391px\" \/><\/figure>\n\n\n\n<p><strong>Solution: <\/strong>This is a scalene triangle. In this type of triangle, the lengths of the three sides are different.<\/p>\n\n\n\n<p><strong>Example 5:<\/strong><strong> Based on the properties of a triangle, if the measure of the angle at the vertices of a triangle is 60 degrees, identify the type of triangle based on the classification of triangles.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"391\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles.png\" alt=\"Identifying the type of triangles\" class=\"wp-image-41734\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles.png 391w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles-300x215.png 300w\" sizes=\"auto, (max-width: 391px) 100vw, 391px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong> A triangle with all angles measuring 60 degrees is an equilateral triangle. An equilateral triangle is one in which all the interior angles are the same, measuring 60 degrees each. In this case, the sum of all the angles of the triangle is 180 degrees.<\/p>\n\n\n\n<p><strong>Example 6:<\/strong><strong> If the lengths of a triangle are 4 in, 4 in, and 5 in, identify the type of the triangle.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"391\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles-based-on-side-lengths.png\" alt=\"Identifying the type of triangles based on side lengths\" class=\"wp-image-41735\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles-based-on-side-lengths.png 391w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/identifying-the-type-of-triangles-based-on-side-lengths-300x215.png 300w\" sizes=\"auto, (max-width: 391px) 100vw, 391px\" \/><\/figure>\n\n\n\n<p><strong>Solution: <\/strong>This type of triangle is an isosceles triangle. An isosceles triangle is one in which two sides of a triangle are equal, and the third side of the triangle is different.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-types-of-triangles\">Practice Problems on Types of Triangles<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Types of Triangles - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What type of triangle is shown in the image given below?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/pp1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Right triangle<\/div><div class=\"spq_answer_block\" data-value=\"1\">Obtuse triangle<\/div><div class=\"spq_answer_block\" data-value=\"2\">Equilateral triangle<\/div><div class=\"spq_answer_block\" data-value=\"3\">Isosceles triangle<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Isosceles triangle<br\/>Two sides of the triangle are equal. Therefore, it is an isosceles triangle.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">If the two angles of a triangle are 45\u00b0 and 60\u00b0, what is the third angle? Classify the triangle.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">105\u00b0; obtuse<\/div><div class=\"spq_answer_block\" data-value=\"1\">57\u00b0; scalene<\/div><div class=\"spq_answer_block\" data-value=\"2\">75\u00b0; acute<\/div><div class=\"spq_answer_block\" data-value=\"3\">75\u00b0; obtuse<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 75\u00b0; acute<br\/>According to the angle sum property, the third angle must be 180\u00b0 - 45\u00b0 - 60\u00b0 = 75\u00b0<br>\r\nAll the interior angles are less than 90\u00b0. <br>\r\nTherefore, the triangle is acute.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following cannot be the sides of a scalene triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">7 ft, 13 ft, 14 ft<\/div><div class=\"spq_answer_block\" data-value=\"1\">6 cm, 8 cm, 10 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">24 m, 10 m, 26 m<\/div><div class=\"spq_answer_block\" data-value=\"3\">15 cm, 15 cm, 15\u221a2 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 15 cm, 15 cm, 15\u221a2 cm<br\/>All sides of a scalene triangle must have different lengths.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">In a right triangle, find the measure of angle B if angle A measures 30\u00b0.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/pp4.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">30<\/div><div class=\"spq_answer_block\" data-value=\"1\">60\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">90\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">150\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 60\u00b0<br\/>According to the angle sum property, m\u2220B = 180\u00b0 - m\u2220C -m\u2220A = 180\u00b0 - 90\u00b0  - 30\u00b0 = 60\u00b0<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Based on the classification of triangles, which of the following combinations of angle measures will form an obtuse triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">60\u00b0, 70\u00b0, 50\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">95\u00b0, 30\u00b0, 55\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">89\u00b0, 45\u00b0, 46\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">90\u00b0, 60\u00b0, 30\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 95\u00b0, 30\u00b0, 55\u00b0<br\/>In an obtuse triangle, one of the vertex angles is an obtuse angle. Among the given options, only option B consists of an obtuse angle, which is an angle exceeding 90 degrees.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">6<\/span><h3 class=\"sqp_question_text\">If one angle of a triangle is 90 degrees, identify the type of the triangle.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/identifying-the-type-of-triangles-based-on-angle-measure.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Isosceles triangle<\/div><div class=\"spq_answer_block\" data-value=\"1\">Right-angled triangle<\/div><div class=\"spq_answer_block\" data-value=\"2\">Equilateral triangle<\/div><div class=\"spq_answer_block\" data-value=\"3\">Scalene triangle<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Right-angled triangle<br\/>A triangle with a right angle is called a right-angled triangle. It is defined based on angles when performing the classification of triangles.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">7<\/span><h3 class=\"sqp_question_text\">Which of the following properties aptly describes a right-angled triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Sides of the triangle are 4 cm, 4 cm, and 7 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">Sides of the triangle are 5 cm, 10 cm, and 12 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">Angles of the triangle are 60\u00b0, 60\u00b0, and 60\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">Angles of the triangle are 90\u00b0, 60\u00b0, and 30\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Angles of the triangle are 90\u00b0, 60\u00b0, and 30\u00b0<br\/>A right-angled triangle is classified by one angle in the triangle, which measures 90 degrees. Further, the sum of the other two angles of the triangle is not more than 90 degrees, which in this case is 60 and 30 degrees.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Types of Triangles - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Types of Triangles - Definition With Examples\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What type of triangle is shown in the image given below?\",\n                    \"text\": \"What type of triangle is shown in the image given below? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/pp1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Two sides of the triangle are equal. Therefore, it is an isosceles triangle.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Right triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two sides of the triangle are equal. Therefore, it is an isosceles triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Obtuse triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two sides of the triangle are equal. Therefore, it is an isosceles triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Equilateral triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two sides of the triangle are equal. Therefore, it is an isosceles triangle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Isosceles triangle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Two sides of the triangle are equal. Therefore, it is an isosceles triangle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Two sides of the triangle are equal. Therefore, it is an isosceles triangle.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the two angles of a triangle are 45\u00b0 and 60\u00b0, what is the third angle? Classify the triangle.\",\n                    \"text\": \"If the two angles of a triangle are 45\u00b0 and 60\u00b0, what is the third angle? Classify the triangle.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"According to the angle sum property, the third angle must be 180\u00b0 - 45\u00b0 - 60\u00b0 = 75\u00b0<br>\r\nAll the interior angles are less than 90\u00b0. <br>\r\nTherefore, the triangle is acute.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"105\u00b0; obtuse\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle sum property, the third angle must be 180\u00b0 - 45\u00b0 - 60\u00b0 = 75\u00b0<br>\r\nAll the interior angles are less than 90\u00b0. <br>\r\nTherefore, the triangle is acute.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"57\u00b0; scalene\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle sum property, the third angle must be 180\u00b0 - 45\u00b0 - 60\u00b0 = 75\u00b0<br>\r\nAll the interior angles are less than 90\u00b0. <br>\r\nTherefore, the triangle is acute.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"75\u00b0; obtuse\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle sum property, the third angle must be 180\u00b0 - 45\u00b0 - 60\u00b0 = 75\u00b0<br>\r\nAll the interior angles are less than 90\u00b0. <br>\r\nTherefore, the triangle is acute.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"75\u00b0; acute\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"According to the angle sum property, the third angle must be 180\u00b0 - 45\u00b0 - 60\u00b0 = 75\u00b0<br>\r\nAll the interior angles are less than 90\u00b0. <br>\r\nTherefore, the triangle is acute.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"According to the angle sum property, the third angle must be 180\u00b0 - 45\u00b0 - 60\u00b0 = 75\u00b0<br>\r\nAll the interior angles are less than 90\u00b0. <br>\r\nTherefore, the triangle is acute.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following cannot be the sides of a scalene triangle?\",\n                    \"text\": \"Which of the following cannot be the sides of a scalene triangle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All sides of a scalene triangle must have different lengths.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7 ft, 13 ft, 14 ft\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of a scalene triangle must have different lengths.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 cm, 8 cm, 10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of a scalene triangle must have different lengths.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"24 m, 10 m, 26 m\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of a scalene triangle must have different lengths.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"15 cm, 15 cm, 15\u221a2 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All sides of a scalene triangle must have different lengths.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All sides of a scalene triangle must have different lengths.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a right triangle, find the measure of angle B if angle A measures 30\u00b0.\",\n                    \"text\": \"In a right triangle, find the measure of angle B if angle A measures 30\u00b0. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/pp4.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"According to the angle sum property, m\u2220B = 180\u00b0 - m\u2220C -m\u2220A = 180\u00b0 - 90\u00b0  - 30\u00b0 = 60\u00b0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle sum property, m\u2220B = 180\u00b0 - m\u2220C -m\u2220A = 180\u00b0 - 90\u00b0  - 30\u00b0 = 60\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle sum property, m\u2220B = 180\u00b0 - m\u2220C -m\u2220A = 180\u00b0 - 90\u00b0  - 30\u00b0 = 60\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"150\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle sum property, m\u2220B = 180\u00b0 - m\u2220C -m\u2220A = 180\u00b0 - 90\u00b0  - 30\u00b0 = 60\u00b0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"60\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"According to the angle sum property, m\u2220B = 180\u00b0 - m\u2220C -m\u2220A = 180\u00b0 - 90\u00b0  - 30\u00b0 = 60\u00b0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"According to the angle sum property, m\u2220B = 180\u00b0 - m\u2220C -m\u2220A = 180\u00b0 - 90\u00b0  - 30\u00b0 = 60\u00b0\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Based on the classification of triangles, which of the following combinations of angle measures will form an obtuse triangle?\",\n                    \"text\": \"Based on the classification of triangles, which of the following combinations of angle measures will form an obtuse triangle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In an obtuse triangle, one of the vertex angles is an obtuse angle. Among the given options, only option B consists of an obtuse angle, which is an angle exceeding 90 degrees.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\u00b0, 70\u00b0, 50\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In an obtuse triangle, one of the vertex angles is an obtuse angle. Among the given options, only option B consists of an obtuse angle, which is an angle exceeding 90 degrees.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"89\u00b0, 45\u00b0, 46\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In an obtuse triangle, one of the vertex angles is an obtuse angle. Among the given options, only option B consists of an obtuse angle, which is an angle exceeding 90 degrees.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90\u00b0, 60\u00b0, 30\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In an obtuse triangle, one of the vertex angles is an obtuse angle. Among the given options, only option B consists of an obtuse angle, which is an angle exceeding 90 degrees.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"95\u00b0, 30\u00b0, 55\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In an obtuse triangle, one of the vertex angles is an obtuse angle. Among the given options, only option B consists of an obtuse angle, which is an angle exceeding 90 degrees.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In an obtuse triangle, one of the vertex angles is an obtuse angle. Among the given options, only option B consists of an obtuse angle, which is an angle exceeding 90 degrees.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If one angle of a triangle is 90 degrees, identify the type of the triangle.\",\n                    \"text\": \"If one angle of a triangle is 90 degrees, identify the type of the triangle. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/identifying-the-type-of-triangles-based-on-angle-measure.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A triangle with a right angle is called a right-angled triangle. It is defined based on angles when performing the classification of triangles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Isosceles triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A triangle with a right angle is called a right-angled triangle. It is defined based on angles when performing the classification of triangles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Equilateral triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A triangle with a right angle is called a right-angled triangle. It is defined based on angles when performing the classification of triangles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Scalene triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A triangle with a right angle is called a right-angled triangle. It is defined based on angles when performing the classification of triangles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Right-angled triangle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A triangle with a right angle is called a right-angled triangle. It is defined based on angles when performing the classification of triangles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A triangle with a right angle is called a right-angled triangle. It is defined based on angles when performing the classification of triangles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following properties aptly describes a right-angled triangle?\",\n                    \"text\": \"Which of the following properties aptly describes a right-angled triangle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A right-angled triangle is classified by one angle in the triangle, which measures 90 degrees. Further, the sum of the other two angles of the triangle is not more than 90 degrees, which in this case is 60 and 30 degrees.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Sides of the triangle are 4 cm, 4 cm, and 7 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A right-angled triangle is classified by one angle in the triangle, which measures 90 degrees. Further, the sum of the other two angles of the triangle is not more than 90 degrees, which in this case is 60 and 30 degrees.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Sides of the triangle are 5 cm, 10 cm, and 12 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A right-angled triangle is classified by one angle in the triangle, which measures 90 degrees. Further, the sum of the other two angles of the triangle is not more than 90 degrees, which in this case is 60 and 30 degrees.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Angles of the triangle are 60\u00b0, 60\u00b0, and 60\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A right-angled triangle is classified by one angle in the triangle, which measures 90 degrees. Further, the sum of the other two angles of the triangle is not more than 90 degrees, which in this case is 60 and 30 degrees.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Angles of the triangle are 90\u00b0, 60\u00b0, and 30\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A right-angled triangle is classified by one angle in the triangle, which measures 90 degrees. Further, the sum of the other two angles of the triangle is not more than 90 degrees, which in this case is 60 and 30 degrees.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A right-angled triangle is classified by one angle in the triangle, which measures 90 degrees. Further, the sum of the other two angles of the triangle is not more than 90 degrees, which in this case is 60 and 30 degrees.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-types-of-triangles\">Frequently Asked Questions about Types of Triangles<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-19597602-c43e-411d-8aaa-fd674eb7282c\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>What is a triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>A triangle is a closed, 2-dimensional shape with three sides, three angles, and three vertices. A triangle is also a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\">polygon<\/a>.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>Are interior angles of an equilateral triangle always 60\u00b0?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>Yes. An equilateral triangle has three equal sides, and all three interior angles are equal. Applying the angle sum property, we can say that each angle of an equilateral triangle must be 180\u00b0\u00f7 3 or 60\u00b0<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>Can an isosceles triangle be obtuse?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>An isosceles triangle has two equal sides, and angles opposite to these sides are equal. In an isosceles triangle, the equal angles are acute. The third angle can be acute, obtuse, or right. Therefore, an isosceles triangle can be an obtuse triangle.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>How many right angles can a triangle have?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>A triangle cannot have more than one right angle. Every triangle has to follow the angle sum property, which states that the sum of the three interior angles is 180\u00b0. We cannot construct a triangle with more than one right angle. If one angle is 90\u00b0, the other two must be acute.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>Which triangle has 3 lines of symmetry?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>Every equilateral triangle has three lines of symmetry. This is because each line of symmetry will always pass through a triangle&#8217;s vertex.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>Which triangles have reflection symmetry?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>Every equilateral and isosceles triangle has the properties of reflection symmetry. Reflection symmetry is a type of symmetry in which one half of an object reflects the other. It is also known as mirror symmetry.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-6-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>How do equilateral and equiangular triangles differ from each other?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-6-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>Although equilateral and equiangular triangles are regular polygons, there lies a main difference between the two. An equilateral triangle usually has congruent sides, similar to a Rhombus but an equiangular triangle has congruent interior angles like a rectangle. If a polygon satisfies the condition of both equilateral and equiangular triangles, then it is considered a regular polygon.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-7-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>Is it possible for an acute triangle to be a scalene triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-7-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>Yes, an acute triangle can be a scalene triangle. We can always draw an acute triangle, whether it has equal sides. Only the angles of an acute triangle need to be less than 90 degrees to be called one such triangle.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-8-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\"><strong>What conditions do all triangles fulfill, irrespective of the type of the triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-8-a5dd78aa-5b41-40d0-85b4-e86f8ce1ccba\">\n\n<p>Irrespective of the classification of triangles, the two conditions that all triangles satisfy are<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>the sum of two sides of a triangle is greater than the third side.\u00a0<\/li>\n\n\n\n<li>the sum of all the interior angles is 180 degrees.<\/li>\n<\/ol>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are the Different Types of Triangles? A triangle is a closed 2-dimensional shape with three sides. There are mainly 6 different types of triangles. The figure given below shows 6 types of triangles and their properties. Recommended Games Add Coins of Different Types and Compare Game Play Answer Questions Related to Triangles Game Play &#8230; <a title=\"Types of Triangles &#8211; Definitions, Classification, Properties, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle\" aria-label=\"More on Types of Triangles &#8211; Definitions, Classification, Properties, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-9442","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/9442","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=9442"}],"version-history":[{"count":29,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/9442\/revisions"}],"predecessor-version":[{"id":41738,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/9442\/revisions\/41738"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=9442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=9442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=9442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}