{"id":1784,"date":"2022-04-22T11:01:46","date_gmt":"2022-04-22T11:01:46","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1784"},"modified":"2023-06-15T13:39:59","modified_gmt":"2023-06-15T13:39:59","slug":"scalene-triangle-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle","title":{"rendered":"Scalene Triangle &#8211; Definition, Types, Examples, Facts, 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-9e984924-29ad-479c-b6fa-32aa5a94236e\" 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\/scalene-triangle#0-scalene-triangle-introduction>Scalene Triangle &#8211; Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle#1-what-is-a-scalene-triangle>What is A Scalene Triangle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle#3-types-of-scalene-triangles>Types of Scalene Triangles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle#9-solved-examples-on-scalene-triangle>Solved Examples on Scalene Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle#10-practice-problems-on-scalene-triangle>Practice Problems on Scalene Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle#11-frequently-asked-questions-on-scalene-triangle>Frequently Asked Questions on Scalene Triangle<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-scalene-triangle-introduction\">Scalene Triangle &#8211; Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A scalene triangle is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">triangle<\/a> whose all sides are unequal and all angles have different measures. We know that a<strong> <\/strong>triangle is a three-sided polygon that consists of three edges and three vertices. There are three types of triangle based on the length of its sides:<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">Equilateral triangle<\/a>: All sides are equal in length.<\/li>\n\n\n\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/isosceles-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">Isosceles triangle<\/a>: Two sides are equal in length.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Scalene triangle: All sides have different lengths.<\/li>\n<\/ol>\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-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-what-is-a-scalene-triangle\">What is A Scalene Triangle?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A scalene triangle is a triangle in which all the sides are of different lengths and all angles are of different measures.\u00a0<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"429\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-1.png\" alt=\"Sides of a scalene triangle\" class=\"wp-image-12641\" title=\"Sides of a scalene triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-1-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the figure given above, all the three symbols that are given on each side are different, which denotes that all three sides are unequal. Also, all the three angles are of different measures. So, the triangle is scalene.<\/p>\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-definition-of-scalene-triangle-\">Definition of Scalene Triangle&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A scalene triangle can be defined as a triangle whose all three sides have different lengths, and all three angles are of different measures. The angles of a scalene triangle follow the angle sum property and always add up to 180.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-types-of-scalene-triangles\">Types of Scalene Triangles<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A scalene triangle can be classified into three categories:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Acute-angled scalene triangle&nbsp;<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">In an acute-angled scalene triangle, each angle of the triangle is less than 90\u00b0. In simple words, all angles are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">acute angles<\/a>.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"532\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-4.png\" alt=\"Acute angled scalene triangle\" class=\"wp-image-12645\" title=\"Acute angled scalene triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-4-300x257.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Obtuse-angled scalene triangle&nbsp;<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">In an obtuse angled scalene triangle, there is one obtuse angle (between 90\u00b0 and 180\u00b0) and remaining two angles are acute.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"390\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-5.png\" alt=\"Obtuse angled scalene triangle\" class=\"wp-image-12643\" title=\"Obtuse angled scalene triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-5-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Right-angled scalene triangle&nbsp;<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">In a right-angled scalene triangle, one angle of the triangle is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">right angle<\/a> (one angle is equal to 90\u00b0).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-6.png\" alt=\"Right angled scalene triangle\" class=\"wp-image-12646\" width=\"578\" height=\"637\" title=\"Right angled scalene triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-6-272x300.png 272w\" sizes=\"auto, (max-width: 578px) 100vw, 578px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-properties-of-a-scalene-triangle\">Properties of A Scalene Triangle<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">It has three sides of different lengths.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">It has three angles of different measurements.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">It has no equal or parallel sides. Hence, there is no <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-of-symmetry\" target=\"_blank\" rel=\"noopener\" title=\"\">line of symmetry<\/a> in a scalene triangle.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">It has no point symmetry or rotational symmetry.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-angle-sum-property-of-a-triangle\">Angle Sum Property of a Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The sum of all three <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/interior-angles\" target=\"_blank\" rel=\"noopener\" title=\"\">internal angles<\/a> of a scalene triangle is 180\u00b0. It is also known as the angle sum property of the triangle.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"503\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-2.png\" alt=\"Angle sum property of a triangle\" class=\"wp-image-12642\" title=\"Angle sum property of a triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-2-300x243.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In $\\Delta\\text{ABC}, \u2220\\text{A} + \u2220\\text{B} + \u2220\\text{C} = 180\u00b0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The difference in the sides or the angles do not affect the basic properties of a triangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: In $\\Delta\\text{PQR}, \u2220\\text{P} = 60\u00b0, \u2220\\text{Q} = 70\u00b0$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"381\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-3.png\" alt=\"Angle sum property of scalene triangle\" class=\"wp-image-12647\" title=\"Angle sum property of scalene triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-3-300x184.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">By the angle sum property of a triangle<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\u2220\\text{P} + \u2220\\text{Q} + \u2220\\text{R} = 180\u00b0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$60\u00b0 + 70\u00b0 + \u2220\\text{R} = 180\u00b0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$130\u00b0 + \u2220\\text{R} = 180\u00b0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\u2220\\text{R} = 50\u00b0$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-area-of-a-scalene-triangle\">Area of a Scalene Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Formula to calculate the area of a scalene triangle is the same as the formula to calculate the area of any other triangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. When base and height are given<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of a triangle $= \\frac{1}{2}\\times b\\times h$ square units<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Where, \u201cb\u201d refers to the base of the triangle, and<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u201ch\u201d refers to the height of the triangle.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example: Find the area of the given triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"424\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-8.png\" alt=\"Area of a scalene triangle\" class=\"wp-image-12648\" title=\"Area of a scalene triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-8-300x205.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">$b=4 \\text{cm}$ and $h = 3\\text {cm}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of triangle $= \\frac{1}{2}\\times4\\times3=6 \\text{cm}^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. When the sides of a triangle are given<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">When we don\u2019t have the base and height for the scalene triangle and we have given the sides, then we apply Heron\u2019s formula.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"435\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-9.png\" alt=\"Area of a triangle using sides\" class=\"wp-image-12649\" title=\"Area of a triangle using sides\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-9-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Area of the triangle $= \\sqrt{s(s-a)(s-b)(s-c)}$ square units<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Where, s is the semi perimeter of a triangle, therefore,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\text{s}=\\frac{a+b+c}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, a, b, and c denote the sides of the triangle.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example: The sides of a triangle are 3 cm, 4cm and 5 cm.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let $a = 3 \\text{cm}, b = 4 \\text{cm}$ and $c = 5 \\text{cm}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\text{s}= \\frac{a+b+c}{2} = \\frac{3+4+5}{2}=6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area $= \\sqrt{6(6-3)(6-4)(6-5)}=\\sqrt{6\\times3\\times2\\times1}=6 \\text{cm}^2$ &nbsp;&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-equilateral-triangle-v-scalene-triangle-v-isosceles-triangle\">Equilateral Triangle v. Scalene Triangle v. Isosceles Triangle<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"663\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-10.png\" alt=\"Equilateral triangle v. Isosceles triangle v. Scalene triangle\" class=\"wp-image-12650\" title=\"Equilateral triangle v. Isosceles triangle v. Scalene triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-10-281x300.png 281w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-perimeter-of-a-scalene-triangle\">Perimeter of a Scalene Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The perimeter of any triangle = Sum of all the sides of a triangle.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If the sides of a triangle are \u201ca\u201d units, \u201cb\u201d units and \u201cc\u201d units, then<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Perimeter <\/strong>$= \\text{a} + \\text{b} + \\text{c}$<strong> units<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example: Consider a given triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"438\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-7.png\" alt=\"Perimeter of scalene triangle\" class=\"wp-image-12651\" title=\"Perimeter of scalene triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Scalene-Triangle-7-300x212.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Perimeter of the triangle $= 7 + 12 + 15 = 34 \\text{cm}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-solved-examples-on-scalene-triangle\">Solved Examples on Scalene Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. What will be the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">perimeter of the triangle<\/a> with sides 10 cm, 12 cm, and 13 cm?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: Perimeter = Sum of all the sides of a triangle $= 10 + 12 + 13 = 35 \\text{cm}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Find the area of the triangle with sides 20 cm, 21 cm, and 29 cm.<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: Let $a = 20 \\text{cm}, b = 21 \\text{cm}$ and $c = 29 \\text{cm}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\text{s}=\\frac{20+21+29}{2}=\\frac{70}{2}=35$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area $= \\sqrt{35(35 &#8211; 20)(35 &#8211; 21)(35 &#8211; 29)} = \\sqrt{35\\times15\\times14\\times6}=210 \\text{cm}^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. In PQR, <\/strong>$\u2220\\text{P} = 30\u00b0, \u2220\\text{Q} = 60\u00b0$<strong>, find the value of <\/strong>$\u2220\\text{R}$<strong>. Also, which type of a triangle is it called?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: In PQR, by angle sum property of a triangle,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\u2220\\text{P} + \u2220\\text{Q} + \u2220\\text{R} = 180\u00b0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$30\u00b0 + 60\u00b0 + \u2220\\text{R} = 180\u00b0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\u2220\\text{R} = 180\u00b0 &#8211; 30\u00b0 &#8211; 60\u00b0 = 90\u00b0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">It is a right angled scalene triangle.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems-on-scalene-triangle\">Practice Problems on Scalene Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Scalene Triangle - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following can be the sides of a scalene triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3 cm, 13 cm, and 13 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">6 cm, 6 cm, and 6 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">10 cm, 12 cm, and 13 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: 10 cm, 12 cm, and 13 cm<br\/>10 cm, 12 cm, and 13 cm are different sides of a triangle.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is incorrect for the scalene triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">It has three unequal sides.<\/div><div class=\"spq_answer_block\" data-value=\"1\">It has three unequal angles.<\/div><div class=\"spq_answer_block\" data-value=\"2\">It has no rotational symmetry.<\/div><div class=\"spq_answer_block\" data-value=\"3\">It has 3 lines of symmetry.<\/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: It has 3 lines of symmetry.<br\/>A scalene triangle has no line of symmetry.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If the perimeter of a triangle is 24 cm and two sides measure 5 cm and 7cm, then what will be the measure of the third side?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">7 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">8 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">10 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">12 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: 7 cm<br\/>Perimeter of triangle $= 5+12+x = 24 \\text{cm}$<br>\r\n$x = 7 \\text{cm}$<\/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        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                  },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3 cm, 13 cm, and 13 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"10 cm, 12 cm, and 13 cm are different sides of a triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 cm, 6 cm, and 6 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"10 cm, 12 cm, and 13 cm are different sides of a triangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"10 cm, 12 cm, and 13 cm are different sides of a triangle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10 cm, 12 cm, and 13 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"10 cm, 12 cm, and 13 cm are different sides of a triangle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"10 cm, 12 cm, and 13 cm are different sides of a triangle.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is incorrect for the scalene triangle?\",\n                    \"text\": \"Which of the following is incorrect for the scalene triangle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A scalene triangle has no line of symmetry.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It has three unequal sides.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A scalene triangle has no line of symmetry.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It has three unequal angles.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A scalene triangle has no line of symmetry.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It has no rotational symmetry.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A scalene triangle has no line of symmetry.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"It has 3 lines of symmetry.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A scalene triangle has no line of symmetry.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A scalene triangle has no line of symmetry.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the perimeter of a triangle is 24 cm and two sides measure 5 cm and 7cm, then what will be the measure of the third side?\",\n                    \"text\": \"If the perimeter of a triangle is 24 cm and two sides measure 5 cm and 7cm, then what will be the measure of the third side?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of triangle $$= 5+12+x = 24 \\\\text{cm}$$<br>\r\n$$x = 7 \\\\text{cm}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of triangle $$= 5+12+x = 24 \\\\text{cm}$$<br>\r\n$$x = 7 \\\\text{cm}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of triangle $$= 5+12+x = 24 \\\\text{cm}$$<br>\r\n$$x = 7 \\\\text{cm}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of triangle $$= 5+12+x = 24 \\\\text{cm}$$<br>\r\n$$x = 7 \\\\text{cm}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"7 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of triangle $$= 5+12+x = 24 \\\\text{cm}$$<br>\r\n$$x = 7 \\\\text{cm}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of triangle $$= 5+12+x = 24 \\\\text{cm}$$<br>\r\n$$x = 7 \\\\text{cm}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions-on-scalene-triangle\">Frequently Asked Questions on Scalene Triangle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-d863b1a1-d55b-45a8-8819-a9c4dea95160\" 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-d863b1a1-d55b-45a8-8819-a9c4dea95160\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d863b1a1-d55b-45a8-8819-a9c4dea95160\"><strong>What is the scalene inequality theorem?<\/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-d863b1a1-d55b-45a8-8819-a9c4dea95160\">\n\n<p>The scalene inequality theorem states that if one side of a triangle has greater length than another side, then the angle opposite the longer side has the greater measure, and conversely, if one angle is greater than another angle, the side opposite to the greater angle will be longer.<\/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-d863b1a1-d55b-45a8-8819-a9c4dea95160\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d863b1a1-d55b-45a8-8819-a9c4dea95160\"><strong>Can a scalene triangle be a right 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-d863b1a1-d55b-45a8-8819-a9c4dea95160\">\n\n<p>Yes, a scalene triangle can be a right triangle. We call them right angled scalene 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-2-d863b1a1-d55b-45a8-8819-a9c4dea95160\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d863b1a1-d55b-45a8-8819-a9c4dea95160\"><strong>Name the examples of two unique triangles that are scalene.<\/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-d863b1a1-d55b-45a8-8819-a9c4dea95160\">\n\n<p>Examples of two unique triangles that are also scalene are $30$$-$$60$$-$$90$ and $40$$-$$50$$-$$90$.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Scalene Triangle &#8211; Introduction A scalene triangle is a triangle whose all sides are unequal and all angles have different measures. We know that a triangle is a three-sided polygon that consists of three edges and three vertices. There are three types of triangle based on the length of its sides: Recommended Games Answer Questions &#8230; <a title=\"Scalene Triangle &#8211; Definition, Types, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle\" aria-label=\"More on Scalene Triangle &#8211; Definition, Types, Examples, Facts, 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-1784","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\/1784","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=1784"}],"version-history":[{"count":41,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1784\/revisions"}],"predecessor-version":[{"id":30617,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1784\/revisions\/30617"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}