{"id":1546,"date":"2022-04-20T09:23:51","date_gmt":"2022-04-20T09:23:51","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1546"},"modified":"2024-01-23T15:48:42","modified_gmt":"2024-01-23T15:48:42","slug":"equiangular-triangle-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equiangular-triangle","title":{"rendered":"Equiangular Triangle &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 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-f4c0e50b-2386-4835-83d0-1749bba07c73\" 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\/equiangular-triangle#0-equiangular-triangle-introduction>Equiangular Triangle: Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equiangular-triangle#1-equiangular-triangle-definition->Equiangular Triangle: Definition&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equiangular-triangle#2-what-is-an-equiangular-triangle>What Is an Equiangular Triangle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equiangular-triangle#8-solved-example>Solved Example<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equiangular-triangle#9-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equiangular-triangle#10-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 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-8f761849 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=\"0-equiangular-triangle-introduction\">Equiangular Triangle: Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Equiangular triangle is a triangle in which angles are congruent and all sides are of equal length. It is often called an equilateral triangle. It is a regular polygon with three equal sides and the angles of the same measure.&nbsp;<\/p>\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-equiangular-triangle-definition-\">Equiangular Triangle: Definition&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A triangle with three equal interior angles is called an equiangular triangle. In an equiangular triangle, the measure of each of its interior angles is 60 \u030a.<\/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\/2024\/01\/equiangular-triangle.png\" alt=\"Equiangular triangle\" class=\"wp-image-37730\" title=\"Equiangular triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/equiangular-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/equiangular-triangle-300x152.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-what-is-an-equiangular-triangle\">What Is an Equiangular Triangle?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In an equiangular triangle, all interior angles are of equal measure. Thus, all its three sides are also of equal length. It is the same as an equilateral triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/an-equiangular-triangle.png\" alt=\"An equiangular triangle.\" class=\"wp-image-37731\" title=\"An equiangular triangle.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/an-equiangular-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/an-equiangular-triangle-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Non-examples of Equiangular Triangle<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"312\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/non-examples-of-an-equiangular-triangle.png\" alt=\"Non-examples of an equiangular triangle\" class=\"wp-image-37732\" title=\"Non-examples of an equiangular triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/non-examples-of-an-equiangular-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/non-examples-of-an-equiangular-triangle-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In the given non-examples, all the figures are of triangles, but none of them is an equiangular triangle because:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">In a right-angled triangle, one of the interior angles is $60^\\circ$.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">In an isosceles triangle, only two interior angles are equal.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">In a scalene triangle, none of the interior angles is equal.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For a triangle to be equiangular all its three interior angles must be equal, that is, each angle should measure $60^\\circ$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-properties-of-equiangular-triangles\">Properties of Equiangular Triangles<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Triangles have different classifications depending on their properties, angles, and sides. We have different triangles, such as an isosceles triangle or a right triangle. An equiangular triangle has its own properties based on the angles and sides. The properties of an equiangular triangle are:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">An equiangular triangle has all the three sides congruent to each other.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All three angles are equal to each other and measure at $60^\\circ$ each.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Since the angles of an equiangular triangle are always $60^\\circ$, the triangle is always an acute-angled triangle.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The radius of an incircle in an equiangular triangle is considered exactly half of the radius of a circumcircle.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">In an equiangular triangle, an orthocenter and centroid are all considered to be the same points.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-how-to-construct-an-equiangular-triangle\">How to Construct an Equiangular Triangle?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">An equiangular triangle can be constructed just by using a compass and a ruler. Since the sides of the triangle are equal in length, construction becomes very simple. Here are the steps to draw an equiangular triangle:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 1: Draw a line segment AB, which will be considered as the length of the sides of the triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"358\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/construction-of-an-equiangular-triangle.png\" alt=\"Construction of an equiangular triangle.\" class=\"wp-image-37734\" title=\"Construction of an equiangular triangle.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/construction-of-an-equiangular-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/construction-of-an-equiangular-triangle-300x173.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 2: Mark a point X anywhere that will be one vertex of the triangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 3: Measure the length of line segment AB with a compass. With one point of the compass at A and the drawing part of the compass at B.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 4: With the obtained length, keeping the compass at point X marks two arcs from the drawing end without changing the length of the compass.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 5: These two arcs will be considered the other two vertices of the triangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 6: On the second arc, mark a point Y. It could be any of two arcs.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 7: Place the compass on point Y, and draw arcs crossing the third arc creating the point Z.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 8: Using a ruler, join all the points creating an equiangular triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"358\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/construction-of-an-equiangular-triangle-.png\" alt=\"Construction of an equiangular triangle.\" class=\"wp-image-37733\" title=\"Construction of an equiangular triangle.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/construction-of-an-equiangular-triangle-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/construction-of-an-equiangular-triangle--300x173.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-perimeter-of-an-equiangular-triangle\">Perimeter of an Equiangular Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perimeter of an equiangular triangle is considered as the sum of all sides or three times of a side since all the sides are equal to each other. Hence, the formula to calculate the perimeter is given as:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perimeter $= 3 \\times a$,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">where a is the side.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-area-of-equiangular-triangle\">Area of Equiangular Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The area of an equiangular triangle is the space covered within the perimeter or three sides of the equiangular triangle and is expressed in square units. Some important units used to express the area are sq. in, sq. m, sq. cm, sq yd, etc. The formula to calculate the area of an equiangular triangle is given as:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Area $= \\sqrt{\\frac{3}{4}} (side)^2$&nbsp; square units<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this article, we learned about equiangular triangles. We saw their properties and understood ways of construction. Let us now look at some examples and solve practice problems based on area and perimeters.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-solved-example\">Solved Example<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. What is the angle opposite to the side AB if ABC is an equiangular triangle?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">All the angles of an equiangular triangle measure the same, i.e., $60^\\circ$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. What is the measure of exterior angle of an&nbsp; equiangular triangle?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The measure of exterior angle of an&nbsp; equiangular triangle is:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We know that sum of angle on a strength line is $180^\\circ$,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$Interior angle + Exterior angle = 180^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$60^\\circ + Exterior angle = 180^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$Exterior angle = 180^\\circ &#8211; 60^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$Exterior angle = 120^\\circ$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"256\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/exterior-angle.png\" alt=\"Exterior angle\" class=\"wp-image-37735\" title=\"Exterior angle\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. What is the sum of angles of an equiangular triangle?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The sum of angles of a triangle is always 180 degrees.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"240\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/sum-of-angles-of-a-triangles.png\" alt=\"Sum of angles of a triangles\" class=\"wp-image-37736\" title=\"Sum of angles of a triangles\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\angle \\text{A} + \\angle \\text{B} + \\angle \\text{C} = 60^\\circ + 60^\\circ + 60^\\circ = 180^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>4. In an isosceles triangle, the equal sides measure 4 inches and all the angles measure <\/strong>$60^\\circ$<strong>. Find out the length of the other side.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We observe that since all the angles measure $60^\\circ$. So, the triangle is not isosceles but equiangular.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, the other side measures the same as given two equal sides, i.e., 4 inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>5. What is the perimeter of an equiangular triangle of sides measuring 5 inches?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perimeter of equiangular triangle $= 3 \\times side$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 3 \\times 5$ inches<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 15$ inches<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Equiangular 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\">What is the perimeter of an equilateral triangle with a side equal to 10 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">20 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">30 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">40 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: 30 cm<br\/>Perimeter $= 3 \\times \\text{sides of equilateral triangle}$<br>\r\nPerimeter $= 3 \\times 10 = 30 cm$<\/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\">What is the perimeter of an equiangular triangle where each side is 6 inches?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">15 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">12 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">20 inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">18 inches<\/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: 18 inches<br\/>The formula to calculate the perimeter is:<br>\r\nPerimeter of equilateral triangle $= 3a$, where a is the side.<br>\r\nGiven, $a = 6$ inches.<br>\r\nThus, perimeter $= 3 \\times 6= 18$ inches.<br>\r\nTherefore, the perimeter of the equiangular triangle is 18 inches.<\/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\">What is the area of the equilateral triangle ABC, where AB $=$ AC $=$ BC $= 9$ cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6.92 sq. cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">7.92 sq. cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">8.92 sq. cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">9.92 sq. 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: 6.92 sq. cm<br\/>By the formula, we know;<br>\r\nArea $= \\sqrt{\\frac{3}{4}}$ $a^2$<br>\r\nGiven a $= 4 cm$<br>\r\nHence, by putting the value we get;<br>\r\nArea $= \\sqrt{\\frac{3}{4}}$ $(4 cm)^2$<br>\r\nArea $= \\sqrt{\\frac{3}{4}}$ $16 cm^2$<br>\r\nArea $= 6.92$ sq. cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the altitude of an equilateral triangle whose sides are equal to 12 cm.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2\\sqrt{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$6\\sqrt{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$9\\sqrt{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$5\\sqrt{3}$<\/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: $6\\sqrt{3}$<br\/>By the formula, we know,<br>\r\nHeight of an equilateral triangle $= \\sqrt{\\frac{3a}{2}}$ <br>\r\nSince, $a = 12 cm$<br>\r\nHence,<br>\r\nh $= \\sqrt{3} \\times \\frac{12}{2}$ <br>\r\nh $= 6\\sqrt{3}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Abel is eating a large triangular-shaped pizza where the lengths of the sides are 7 in. Help Abel find the area of the pizza.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">21.21 sq. in<\/div><div class=\"spq_answer_block\" data-value=\"1\">11.11 sq. in<\/div><div class=\"spq_answer_block\" data-value=\"2\">22.22 sq. in<\/div><div class=\"spq_answer_block\" data-value=\"3\">12.21 sq. in<\/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: 21.21 sq. in<br\/>The length of the sides $= 7$ in.<br>\r\nSince the sides of the pizza have equal lengths, we can say that it is an equiangular triangle. Hence, using the area formula we get,<br>\r\nArea $= \\frac{\\sqrt{3}}{4}$ $a^2$<br>\r\nArea $= \\frac{\\sqrt{3}}{4}$ $(7)^2$<br>\r\nArea $= \\frac{\\sqrt{3}}{4}$ $49^2$<br>\r\nArea $= 21.21$<br>\r\nHence, the area of the large pizza eaten by Abel is 21.21 sq. in.<\/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\": \"Equiangular Triangle - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Equiangular Triangle - 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\"text\/html\",\n                                \"text\": \"10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$= 3 \\\\times \\\\text{sides of equilateral triangle}$$<br>\r\nPerimeter $$= 3 \\\\times 10 = 30 cm$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$= 3 \\\\times \\\\text{sides of equilateral triangle}$$<br>\r\nPerimeter $$= 3 \\\\times 10 = 30 cm$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"40 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$= 3 \\\\times \\\\text{sides of equilateral triangle}$$<br>\r\nPerimeter $$= 3 \\\\times 10 = 30 cm$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"30 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter $$= 3 \\\\times \\\\text{sides of equilateral triangle}$$<br>\r\nPerimeter $$= 3 \\\\times 10 = 30 cm$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter $$= 3 \\\\times \\\\text{sides of equilateral triangle}$$<br>\r\nPerimeter $$= 3 \\\\times 10 = 30 cm$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the perimeter of an equiangular triangle where each side is 6 inches?\",\n                    \"text\": \"What is the perimeter of an equiangular triangle where each side is 6 inches?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The formula to calculate the perimeter is:<br>\r\nPerimeter of equilateral triangle $$= 3a$$, where a is the side.<br>\r\nGiven, $$a = 6$$ inches.<br>\r\nThus, perimeter $$= 3 \\\\times 6= 18$$ inches.<br>\r\nTherefore, the perimeter of the equiangular triangle is 18 inches.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula to calculate the perimeter is:<br>\r\nPerimeter of equilateral triangle $$= 3a$$, where a is the side.<br>\r\nGiven, $$a = 6$$ inches.<br>\r\nThus, perimeter $$= 3 \\\\times 6= 18$$ inches.<br>\r\nTherefore, the perimeter of the equiangular triangle is 18 inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula to calculate the perimeter is:<br>\r\nPerimeter of equilateral triangle $$= 3a$$, where a is the side.<br>\r\nGiven, $$a = 6$$ inches.<br>\r\nThus, perimeter $$= 3 \\\\times 6= 18$$ inches.<br>\r\nTherefore, the perimeter of the equiangular triangle is 18 inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula to calculate the perimeter is:<br>\r\nPerimeter of equilateral triangle $$= 3a$$, where a is the side.<br>\r\nGiven, $$a = 6$$ inches.<br>\r\nThus, perimeter $$= 3 \\\\times 6= 18$$ inches.<br>\r\nTherefore, the perimeter of the equiangular triangle is 18 inches.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"18 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The formula to calculate the perimeter is:<br>\r\nPerimeter of equilateral triangle $$= 3a$$, where a is the side.<br>\r\nGiven, $$a = 6$$ inches.<br>\r\nThus, perimeter $$= 3 \\\\times 6= 18$$ inches.<br>\r\nTherefore, the perimeter of the equiangular triangle is 18 inches.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The formula to calculate the perimeter is:<br>\r\nPerimeter of equilateral triangle $$= 3a$$, where a is the side.<br>\r\nGiven, $$a = 6$$ inches.<br>\r\nThus, perimeter $$= 3 \\\\times 6= 18$$ inches.<br>\r\nTherefore, the perimeter of the equiangular triangle is 18 inches.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of the equilateral triangle ABC, where AB $$=$$ AC $$=$$ BC $$= 9$$ cm?\",\n                    \"text\": \"What is the area of the equilateral triangle ABC, where AB $$=$$ AC $$=$$ BC $$= 9$$ cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"By the formula, we know;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$a^2$$<br>\r\nGiven a $$= 4 cm$$<br>\r\nHence, by putting the value we get;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$(4 cm)^2$$<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$16 cm^2$$<br>\r\nArea $$= 6.92$$ sq. cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7.92 sq. cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By the formula, we know;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$a^2$$<br>\r\nGiven a $$= 4 cm$$<br>\r\nHence, by putting the value we get;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$(4 cm)^2$$<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$16 cm^2$$<br>\r\nArea $$= 6.92$$ sq. cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8.92 sq. cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By the formula, we know;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$a^2$$<br>\r\nGiven a $$= 4 cm$$<br>\r\nHence, by putting the value we get;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$(4 cm)^2$$<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$16 cm^2$$<br>\r\nArea $$= 6.92$$ sq. cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9.92 sq. cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By the formula, we know;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$a^2$$<br>\r\nGiven a $$= 4 cm$$<br>\r\nHence, by putting the value we get;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$(4 cm)^2$$<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$16 cm^2$$<br>\r\nArea $$= 6.92$$ sq. cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6.92 sq. cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"By the formula, we know;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$a^2$$<br>\r\nGiven a $$= 4 cm$$<br>\r\nHence, by putting the value we get;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$(4 cm)^2$$<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$16 cm^2$$<br>\r\nArea $$= 6.92$$ sq. cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"By the formula, we know;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$a^2$$<br>\r\nGiven a $$= 4 cm$$<br>\r\nHence, by putting the value we get;<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$(4 cm)^2$$<br>\r\nArea $$= \\\\sqrt{\\\\frac{3}{4}}$$ $$16 cm^2$$<br>\r\nArea $$= 6.92$$ sq. cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the altitude of an equilateral triangle whose sides are equal to 12 cm.\",\n                    \"text\": \"What is the altitude of an equilateral triangle whose sides are equal to 12 cm.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"By the formula, we know,<br>\r\nHeight of an equilateral triangle $$= \\\\sqrt{\\\\frac{3a}{2}}$$ <br>\r\nSince, $$a = 12 cm$$<br>\r\nHence,<br>\r\nh $$= \\\\sqrt{3} \\\\times \\\\frac{12}{2}$$ <br>\r\nh $$= 6\\\\sqrt{3}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\sqrt{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By the formula, we know,<br>\r\nHeight of an equilateral triangle $$= \\\\sqrt{\\\\frac{3a}{2}}$$ <br>\r\nSince, $$a = 12 cm$$<br>\r\nHence,<br>\r\nh $$= \\\\sqrt{3} \\\\times \\\\frac{12}{2}$$ <br>\r\nh $$= 6\\\\sqrt{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$9\\\\sqrt{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By the formula, we know,<br>\r\nHeight of an equilateral triangle $$= \\\\sqrt{\\\\frac{3a}{2}}$$ <br>\r\nSince, $$a = 12 cm$$<br>\r\nHence,<br>\r\nh $$= \\\\sqrt{3} \\\\times \\\\frac{12}{2}$$ <br>\r\nh $$= 6\\\\sqrt{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5\\\\sqrt{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By the formula, we know,<br>\r\nHeight of an equilateral triangle $$= \\\\sqrt{\\\\frac{3a}{2}}$$ <br>\r\nSince, $$a = 12 cm$$<br>\r\nHence,<br>\r\nh $$= \\\\sqrt{3} \\\\times \\\\frac{12}{2}$$ <br>\r\nh $$= 6\\\\sqrt{3}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$6\\\\sqrt{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"By the formula, we know,<br>\r\nHeight of an equilateral triangle $$= \\\\sqrt{\\\\frac{3a}{2}}$$ <br>\r\nSince, $$a = 12 cm$$<br>\r\nHence,<br>\r\nh $$= \\\\sqrt{3} \\\\times \\\\frac{12}{2}$$ <br>\r\nh $$= 6\\\\sqrt{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"By the formula, we know,<br>\r\nHeight of an equilateral triangle $$= \\\\sqrt{\\\\frac{3a}{2}}$$ <br>\r\nSince, $$a = 12 cm$$<br>\r\nHence,<br>\r\nh $$= \\\\sqrt{3} \\\\times \\\\frac{12}{2}$$ <br>\r\nh $$= 6\\\\sqrt{3}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Abel is eating a large triangular-shaped pizza where the lengths of the sides are 7 in. Help Abel find the area of the pizza.\",\n                    \"text\": \"Abel is eating a large triangular-shaped pizza where the lengths of the sides are 7 in. Help Abel find the area of the pizza.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The length of the sides $$= 7$$ in.<br>\r\nSince the sides of the pizza have equal lengths, we can say that it is an equiangular triangle. Hence, using the area formula we get,<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$a^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$(7)^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$49^2$$<br>\r\nArea $$= 21.21$$<br>\r\nHence, the area of the large pizza eaten by Abel is 21.21 sq. in.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"11.11 sq. in\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The length of the sides $$= 7$$ in.<br>\r\nSince the sides of the pizza have equal lengths, we can say that it is an equiangular triangle. Hence, using the area formula we get,<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$a^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$(7)^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$49^2$$<br>\r\nArea $$= 21.21$$<br>\r\nHence, the area of the large pizza eaten by Abel is 21.21 sq. in.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"22.22 sq. in\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The length of the sides $$= 7$$ in.<br>\r\nSince the sides of the pizza have equal lengths, we can say that it is an equiangular triangle. Hence, using the area formula we get,<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$a^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$(7)^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$49^2$$<br>\r\nArea $$= 21.21$$<br>\r\nHence, the area of the large pizza eaten by Abel is 21.21 sq. in.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12.21 sq. in\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The length of the sides $$= 7$$ in.<br>\r\nSince the sides of the pizza have equal lengths, we can say that it is an equiangular triangle. Hence, using the area formula we get,<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$a^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$(7)^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$49^2$$<br>\r\nArea $$= 21.21$$<br>\r\nHence, the area of the large pizza eaten by Abel is 21.21 sq. in.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"21.21 sq. in\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The length of the sides $$= 7$$ in.<br>\r\nSince the sides of the pizza have equal lengths, we can say that it is an equiangular triangle. Hence, using the area formula we get,<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$a^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$(7)^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$49^2$$<br>\r\nArea $$= 21.21$$<br>\r\nHence, the area of the large pizza eaten by Abel is 21.21 sq. in.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The length of the sides $$= 7$$ in.<br>\r\nSince the sides of the pizza have equal lengths, we can say that it is an equiangular triangle. Hence, using the area formula we get,<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$a^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$(7)^2$$<br>\r\nArea $$= \\\\frac{\\\\sqrt{3}}{4}$$ $$49^2$$<br>\r\nArea $$= 21.21$$<br>\r\nHence, the area of the large pizza eaten by Abel is 21.21 sq. in.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-926ffad2-03c9-46e3-90c9-245321a63739\" 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-0-926ffad2-03c9-46e3-90c9-245321a63739\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-926ffad2-03c9-46e3-90c9-245321a63739\"><strong>What is the formula to find the height of an equiangular triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-926ffad2-03c9-46e3-90c9-245321a63739\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The formula to find the height of equilateral triangle is:Height, $h = \\sqrt{\\frac{3a}{2}}$, where a is the side of the equilateral 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-1-926ffad2-03c9-46e3-90c9-245321a63739\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-926ffad2-03c9-46e3-90c9-245321a63739\"><strong>Are all equiangular triangles congruent?<\/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-1-926ffad2-03c9-46e3-90c9-245321a63739\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">An equiangular triangle has three equal angles with congruent sides opposite them making all three sides congruent. Hence, equiangular triangles are congruent.<\/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-2-926ffad2-03c9-46e3-90c9-245321a63739\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-926ffad2-03c9-46e3-90c9-245321a63739\"><strong>What is another name of the equiangular 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-2-926ffad2-03c9-46e3-90c9-245321a63739\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The other name of an equiangular triangle is an equilateral triangle since both the triangles have similar properties, such as sides are equal and all three angles are measured at $60^\\circ$.<\/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-3-926ffad2-03c9-46e3-90c9-245321a63739\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-926ffad2-03c9-46e3-90c9-245321a63739\"><strong>What is an orthocenter?<\/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-3-926ffad2-03c9-46e3-90c9-245321a63739\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The orthocenter is the point where all the three altitudes of the triangle intersect each other.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"265\" height=\"273\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/orthocenter-of-a-triangle.png\" alt=\"Orthocenter of a triangle\" class=\"wp-image-37737\" title=\"Orthocenter of a triangle\"\/><\/figure>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-926ffad2-03c9-46e3-90c9-245321a63739\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-926ffad2-03c9-46e3-90c9-245321a63739\"><strong>What is a centroid?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-926ffad2-03c9-46e3-90c9-245321a63739\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The centroid is the point in which the three medians of the triangle intersect is known as the centroid of a triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"292\" height=\"175\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/centroid-of-a-triangle.png\" alt=\"Centroid of a triangle\" class=\"wp-image-37738\" title=\"Centroid of a triangle\"\/><\/figure>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-926ffad2-03c9-46e3-90c9-245321a63739\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-926ffad2-03c9-46e3-90c9-245321a63739\"><strong>Do equilateral and equiangular triangles mean the same thing?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-926ffad2-03c9-46e3-90c9-245321a63739\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Yes! Every equiangular triangle is also equilateral and vice-versa.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-6-926ffad2-03c9-46e3-90c9-245321a63739\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-926ffad2-03c9-46e3-90c9-245321a63739\"><strong>What is equiangular quadrilateral?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-6-926ffad2-03c9-46e3-90c9-245321a63739\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The quadrilateral in which all the interior angles are congruent is called an equiangular quadrilateral. Example: Square<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Equiangular Triangle: Introduction Equiangular triangle is a triangle in which angles are congruent and all sides are of equal length. It is often called an equilateral triangle. It is a regular polygon with three equal sides and the angles of the same measure.&nbsp; Recommended Games Answer Questions Related to Triangles Game Play Classify Triangles and &#8230; <a title=\"Equiangular Triangle &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equiangular-triangle\" aria-label=\"More on Equiangular Triangle &#8211; Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1546","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\/1546","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=1546"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1546\/revisions"}],"predecessor-version":[{"id":37739,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1546\/revisions\/37739"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1546"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1546"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}