{"id":1453,"date":"2022-04-19T10:11:38","date_gmt":"2022-04-19T10:11:38","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1453"},"modified":"2023-07-23T06:06:53","modified_gmt":"2023-07-23T06:06:53","slug":"acute-triangle-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-triangle","title":{"rendered":"Acute Triangle &#8211; Definition, Examples, Practice Problems, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-21d7c379-a2a7-41c2-acaf-1b20781f2077\" 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\/geometry\/acute-triangle#0-what-is-acute-triangle>What is Acute Triangle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-triangle#2-acute-triangle-formulas>Acute Triangle Formulas<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-triangle#4-area-of-an-acute-triangle>Area of An Acute Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-triangle#5-solved-examples-on-acute-triangle>Solved Examples on Acute Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-triangle#6-practice-problems-on-acute-triangle>Practice Problems On Acute Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-triangle#7-frequently-asked-questions-on-acute-triangle>Frequently Asked Questions on Acute Triangle<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-acute-triangle\">What is Acute Triangle?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A triangle is a basic polygon with three sides and three vertices. Since it has three sides, it has three interior angles.<\/strong> An angle that measures between 0\u00b0 and 90\u00b0 is called an acute angle. An acute <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\">triangle<\/a> is a type of triangle in which all the three <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/interior-angles\" title=\"\">internal angles<\/a> of the triangle are acute. Acute triangles are also called acute-angled triangles. Even though the length of the sides of acute triangles differs, the interior angles are never more than 90\u00b0.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"514\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_1.png\" alt=\"Acute Triangles\" class=\"wp-image-5698\" title=\"Acute Triangles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_1-300x249.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\/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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-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_triangles_pt.png\" alt=\"Classify 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\">Classify 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\/identify-if-the-given-angle-is-right-acute-or-obtuse\" 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_identify_type_of_angle_pt.png\" alt=\"Identify if the Given Angle is Right, Acute or Obtuse 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 if the Given Angle is Right, Acute or Obtuse 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-types-of-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_types_of_triangles_pt.png\" alt=\"Identify Types of 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\">Identify Types of 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\/match-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_amusement_park_4_5_gm.png\" alt=\"Match 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\">Match 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/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_triangle_rectangle_1_pt.png\" alt=\"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\">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><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                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = 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 eplus-wrapper\" id=\"1-types-of-acute-triangles\">Types of Acute Triangles<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We can categorize acute triangles into three different types based on the side length and angles of the triangles as follows.<\/p>\n\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"eplus-wrapper\"><strong>Equilateral Triangle<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">All the sides of an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\" title=\"\">equilateral triangle<\/a> are of equal lengths\u2014each interior angle of this triangle measures 60\u00b0. So, an equilateral triangle is always an acute triangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the given figure of an equilateral Triangle,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u2220A =&nbsp; \u2220B = \u2220C = 60\u00b0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Side AB = Side BC = Side AC<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"316\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_2-2.png\" alt=\"Equilateral Triangle\" class=\"wp-image-5701\" title=\"Equilateral Triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_2-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_2-2-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Acute Isosceles Triangle<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Two sides of an acute isosceles triangle are of equal length, and angles opposite to those sides measure the same.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the given figure of an Acute Isosceles Triangle,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u2220B =&nbsp; \u2220C \u2260 \u2220A<br>Side AB = Side AC \u2260 Side BC<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"328\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_3.png\" alt=\"Acute Isosceles Triangle\" class=\"wp-image-5702\" title=\"Acute Isosceles Triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_3-300x159.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"eplus-wrapper\">All three sides and internal angles of a scalene acute triangle are unequal. All angles measure less than 90 degrees.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the given figure of an Acute Scalene Triangle,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u2220A \u2260&nbsp; \u2220B \u2260 \u2220C&nbsp;<br>Side AB \u2260 Side BC \u2260 Side AC<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"341\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_4.png\" alt=\"Acute Scalene Triangle\" class=\"wp-image-5703\" title=\"Acute Scalene Triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_4-300x165.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"396\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_5.png\" alt=\"Equilateral Triangle, Acute Isosceles Triangle, Acute Scalene Triangle.\" class=\"wp-image-5704\" title=\"Equilateral Triangle, Acute Isosceles Triangle, Acute Scalene Triangle.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_5-300x192.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-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                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = 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 eplus-wrapper\" id=\"2-acute-triangle-formulas\">Acute Triangle Formulas<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The basic formulas relating to an acute triangle is to calculate its perimeter and area.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-the-perimeter-of-an-acute-triangle\">The Perimeter of An Acute Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Perimeter measures the outer boundary of the given shape. The perimeter of a triangle is the sum of the length of all the sides.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"397\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_6.png\" alt=\"The Perimeters of Different Acute Triangles\" class=\"wp-image-5705\" title=\"The Perimeters of Different Acute Triangles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_6-300x192.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-area-of-an-acute-triangle\">Area of An Acute Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The area of a triangle means the inner space covered by the three sides of the triangle.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The <a href=\"https:\/\/www.cuemath.com\/measurement\/area\/\">area<\/a> of an acute triangle can be calculated using the formula of the area of a triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_7.png\" alt=\"Area of An Acute Triangle\" class=\"wp-image-5706\" title=\"Area of An Acute Triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Acute-Triangle_7-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Area of triangle = (1\/2) \u00d7 b \u00d7 h<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, &#8216;b&#8217; is the base length of an acute triangle, and &#8216;h&#8217; is the height of an acute triangle.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples-on-acute-triangle\">Solved Examples on Acute Triangle<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Find the missing angle in the given figure and identify the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle\" title=\"\">type of triangle<\/a>.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"275\" height=\"144\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Solved-Examples_1.png\" alt=\"Solved Example of acute triangle\" class=\"wp-image-5707\" title=\"Solved Example of acute triangle\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Solution:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Using the angle sum property of triangles, we get \u2220A = 180\u00b0 &#8211; 70\u00b0 &#8211; 30\u00b0 = 80\u00b0.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since all three angles of the given triangle are different acute angles, it is an acute scalene triangle.<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>In an acute isosceles triangle ABC, side AB = 6 cm and \u2220B = \u2220C. If the perimeter of this triangle is 16 cm, then find the length of the side BC.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"195\" height=\"240\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Solved-Examples_2.png\" alt=\"Acute isosceles triangle ABC\" class=\"wp-image-5708\" title=\"Acute isosceles triangle ABC\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Solution:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the given acute isosceles triangle ABC, \u2220B = \u2220C. The sides opposite these angles are equal. Therefore, the lengths of the sides AB and AC must be equal.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, AB = AC = 6 cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The perimeter of the triangle is 16 cm. Therefore, AB + AC + BC = 16 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the length of the side BC must be 16 &#8211; 6 &#8211; 6&nbsp; or 4 cm.<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Find the area of the acute triangle whose base is 5 cm long and height is 6 cm?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Solution:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of an acute triangle = Area of a triangle = (1\/2) \u00d7 b \u00d7 h.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Substituting the value of the base (b) as 5 cm long and height (h) as 6 cm, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area = 1\/2 \u00d7 5 \u00d7 6 = 15 cm<sup>2<\/sup><\/p>\n\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems-on-acute-triangle\">Practice Problems On Acute Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Acute Triangle<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following angle measures can form an acute-angled 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\">105\u00b0, 20\u00b0, 55\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">90\u00b0,45\u00b0,45\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">90\u00b0, 40\u00b0, 50\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, 70\u00b0, 50\u00b0<br\/>In an acute triangle, all the three angles are less than 90\u00b0. Only option a) satisfies this condition.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Identify the type of triangle.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Practice-Problems_1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Equilateral Triangle <\/div><div class=\"spq_answer_block\" data-value=\"1\">Acute Isosceles Triangle <\/div><div class=\"spq_answer_block\" data-value=\"2\">Acute Scalene Triangle <\/div><div class=\"spq_answer_block\" data-value=\"3\">Obtuse 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: Acute Isosceles Triangle <br\/>All the three interior angles \u2206ABC are acute and AB = AC. Therefore, \u2206ABC is an acute isosceles triangle.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If the three interior angles of a triangle measure x, x + 20, and x + 40, then identify the type of the triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Equilateral Triangle<\/div><div class=\"spq_answer_block\" data-value=\"1\">Acute Isosceles Triangle<\/div><div class=\"spq_answer_block\" data-value=\"2\">Acute Scalene Triangle<\/div><div class=\"spq_answer_block\" data-value=\"3\">Obtuse 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: Acute Scalene Triangle<br\/>Using the angle sum property of a triangle, we get $x + x + 20 + x + 40 = 180$. <br>\r\nSo, x must be 40 and the three interior angles of the triangle are 40\u00b0, 60\u00b0 and 80\u00b0. <br>\r\nSince all the angles of the triangle are acute but different, the triangle must be an Acute Scalene Triangle.<\/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\": \"Acute Triangle\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Acute Triangle\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following angle measures can form an acute-angled triangle?\",\n                    \"text\": \"Which of the following angle measures can form an acute-angled triangle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In an acute triangle, all the three angles are less than 90\u00b0. Only option a) satisfies this condition.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"105\u00b0, 20\u00b0, 55\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In an acute triangle, all the three angles are less than 90\u00b0. 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Only option a) satisfies this condition.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90\u00b0, 40\u00b0, 50\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In an acute triangle, all the three angles are less than 90\u00b0. Only option a) satisfies this condition.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\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 acute triangle, all the three angles are less than 90\u00b0. Only option a) satisfies this condition.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In an acute triangle, all the three angles are less than 90\u00b0. Only option a) satisfies this condition.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the type of triangle.\",\n                    \"text\": \"Identify the type of triangle. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Practice-Problems_1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All the three interior angles \u2206ABC are acute and AB = AC. Therefore, \u2206ABC is an acute isosceles triangle.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Equilateral Triangle \",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the three interior angles \u2206ABC are acute and AB = AC. Therefore, \u2206ABC is an acute isosceles triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Acute Scalene Triangle \",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the three interior angles \u2206ABC are acute and AB = AC. Therefore, \u2206ABC is an acute isosceles triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Obtuse Scalene Triangle \",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the three interior angles \u2206ABC are acute and AB = AC. Therefore, \u2206ABC is an acute isosceles triangle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Acute Isosceles Triangle \",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All the three interior angles \u2206ABC are acute and AB = AC. Therefore, \u2206ABC is an acute isosceles triangle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All the three interior angles \u2206ABC are acute and AB = AC. Therefore, \u2206ABC is an acute isosceles triangle.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the three interior angles of a triangle measure x, x + 20, and x + 40, then identify the type of the triangle?\",\n                    \"text\": \"If the three interior angles of a triangle measure x, x + 20, and x + 40, then identify the type of the triangle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Using the angle sum property of a triangle, we get $$x + x + 20 + x + 40 = 180$$. <br>\r\nSo, x must be 40 and the three interior angles of the triangle are 40\u00b0, 60\u00b0 and 80\u00b0. <br>\r\nSince all the angles of the triangle are acute but different, the triangle must be an Acute Scalene Triangle.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Equilateral Triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the angle sum property of a triangle, we get $$x + x + 20 + x + 40 = 180$$. <br>\r\nSo, x must be 40 and the three interior angles of the triangle are 40\u00b0, 60\u00b0 and 80\u00b0. <br>\r\nSince all the angles of the triangle are acute but different, the triangle must be an Acute Scalene Triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Acute Isosceles Triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the angle sum property of a triangle, we get $$x + x + 20 + x + 40 = 180$$. <br>\r\nSo, x must be 40 and the three interior angles of the triangle are 40\u00b0, 60\u00b0 and 80\u00b0. <br>\r\nSince all the angles of the triangle are acute but different, the triangle must be an Acute Scalene Triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Obtuse Scalene Triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the angle sum property of a triangle, we get $$x + x + 20 + x + 40 = 180$$. <br>\r\nSo, x must be 40 and the three interior angles of the triangle are 40\u00b0, 60\u00b0 and 80\u00b0. <br>\r\nSince all the angles of the triangle are acute but different, the triangle must be an Acute Scalene Triangle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Acute Scalene Triangle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Using the angle sum property of a triangle, we get $$x + x + 20 + x + 40 = 180$$. <br>\r\nSo, x must be 40 and the three interior angles of the triangle are 40\u00b0, 60\u00b0 and 80\u00b0. <br>\r\nSince all the angles of the triangle are acute but different, the triangle must be an Acute Scalene Triangle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Using the angle sum property of a triangle, we get $$x + x + 20 + x + 40 = 180$$. <br>\r\nSo, x must be 40 and the three interior angles of the triangle are 40\u00b0, 60\u00b0 and 80\u00b0. <br>\r\nSince all the angles of the triangle are acute but different, the triangle must be an Acute Scalene Triangle.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions-on-acute-triangle\">Frequently Asked Questions on Acute Triangle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-fedfc650-3008-4ecf-b0c0-d85002068c45\" 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-fedfc650-3008-4ecf-b0c0-d85002068c45\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fedfc650-3008-4ecf-b0c0-d85002068c45\"><strong>What is an acute angle?<\/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-fedfc650-3008-4ecf-b0c0-d85002068c45\">\n\n<p>An angle that measures between 0\u00b0 and 90\u00b0 is called an acute angle. It can be measured using a protractor.<\/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-fedfc650-3008-4ecf-b0c0-d85002068c45\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fedfc650-3008-4ecf-b0c0-d85002068c45\"><strong>What are the properties of an acute angled 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-1-fedfc650-3008-4ecf-b0c0-d85002068c45\">\n\n<p>The significant properties of an acute triangle are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All the three interior angles of an acute triangle measures less than 90\u00b0.&nbsp;<\/li>\n\n\n\n<li>The angles of an acute triangle add up to 180\u00b0.<\/li>\n<\/ul>\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-fedfc650-3008-4ecf-b0c0-d85002068c45\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fedfc650-3008-4ecf-b0c0-d85002068c45\"><strong>Is a scalene triangle always an acute 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-2-fedfc650-3008-4ecf-b0c0-d85002068c45\">\n\n<p>No, a scalene may not always be an acute triangle. It can be a right-angled triangle with the angles of 90\u00b0, 40\u00b0, and 50\u00b0. A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle\" title=\"\">scalene triangle<\/a> can also be an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/obtuse-triangle\" title=\"\">obtuse triangle<\/a> with angles as 30\u00b0, 50\u00b0, and 100\u00b0. Three interior angles of an acute triangle must be less than 90\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-3-fedfc650-3008-4ecf-b0c0-d85002068c45\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fedfc650-3008-4ecf-b0c0-d85002068c45\"><strong>Is It Possible for A Right Triangle to Be Acute<\/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-fedfc650-3008-4ecf-b0c0-d85002068c45\">\n\n<p>A right triangle must have an angle that measures exactly 90\u00b0. Since the three angles of an acute triangle must be less than 90\u00b0, a right triangle cannot be acute.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is Acute Triangle? A triangle is a basic polygon with three sides and three vertices. Since it has three sides, it has three interior angles. An angle that measures between 0\u00b0 and 90\u00b0 is called an acute angle. An acute triangle is a type of triangle in which all the three internal angles of &#8230; <a title=\"Acute Triangle &#8211; Definition, Examples, Practice Problems, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-triangle\" aria-label=\"More on Acute Triangle &#8211; Definition, Examples, Practice Problems, FAQs\">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-1453","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\/1453","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=1453"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1453\/revisions"}],"predecessor-version":[{"id":32136,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1453\/revisions\/32136"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1453"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1453"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1453"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}