{"id":1779,"date":"2022-04-22T10:33:38","date_gmt":"2022-04-22T10:33:38","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1779"},"modified":"2024-01-01T06:31:44","modified_gmt":"2024-01-01T06:31:44","slug":"right-triangle-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-triangle","title":{"rendered":"Right Angled Triangle \u2013 Definition with Examples"},"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-38621bf4-ee9e-4726-81b9-1983ea1b9f09\" 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\/right-triangle#0-features-of-a-right-triangle>Features of a Right Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-triangle#1-types-of-right-triangles>Types of Right Triangles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-triangle#2-the-formula-for-a-right-angled-triangle>The Formula for a Right-Angled Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-triangle#6-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-triangle#7-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-triangle#8-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-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<p class=\"eplus-wrapper\">A<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\"> triangle<\/a> in which one of the interior<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\"> angles<\/a> is 90\u00b0 is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/height\"> height<\/a> and the<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/base\"> base<\/a>. Here\u2019s what a right triangle looks like:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"314\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-right-triangle.png\" alt=\"A right triangle\" class=\"wp-image-36838\" title=\"A right triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-right-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-right-triangle-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The total space or territory covered by a right-angled triangle is known as the area of a right triangle. It&#8217;s calculated in square units. The units m<sup>2<\/sup>, cm<sup>2<\/sup>, in<sup>2<\/sup>, yd<sup>2<\/sup>, and others commonly represent the area.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-features-of-a-right-triangle\">Features of a Right Triangle<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The right angle is always the largest angle in a right triangle.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The hypotenuse, the side opposite the right angle, is the longest side.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">There can&#8217;t be any obtuse angles in a right triangle.<\/li>\n<\/ul>\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\/find-right-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_identify_right_angle_1_pt.png\" alt=\"Find Right 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\">Find Right 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-if-the-given-angle-is-right-acute-or-obtuse\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_type_of_angle_pt.png\" alt=\"Identify if the Given Angle is Right, Acute or Obtuse Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify if the Given Angle is Right, Acute or Obtuse Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-right-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_identify_right_angle_2_pt.png\" alt=\"Identify Right 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 Right 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-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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-types-of-right-triangles\">Types of Right Triangles<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Broadly, right triangles can be categorized as:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1. <strong>Isosceles right triangle<\/strong>: In this triangle, one interior angle measures 90\u00b0, and the other two angles measure 45\u00b0 each. It is also known as a 45-90-45 triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"314\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/isosceles-right-triangle-.png\" alt=\"Isosceles right triangle\" class=\"wp-image-36839\" title=\"Isosceles right triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/isosceles-right-triangle-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/isosceles-right-triangle--300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">This is an isosceles right triangle, with the sides <em>AB<\/em> and <em>AC<\/em> equal and \u2220<em>B<\/em> measuring 90\u00b0. Here, \u2220<em>A<\/em> and \u2220<em>C<\/em> measure 45\u00b0 each because the property states that angles opposite to equal sides are also equal.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2. <strong>Scalene right triangle<\/strong>: This triangle is the one in which one interior angle measures 90\u00b0, while the other two have different measures. For example:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scalene-right-triangle.png\" alt=\"Scalene right triangle\" class=\"wp-image-36840\" title=\"Scalene right triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scalene-right-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scalene-right-triangle-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the scalene right triangle <em>ABC<\/em>, \u2220<em>A<\/em> measures 30\u00b0, \u2220<em>B<\/em> measures 90\u00b0, and \u2220<em>C<\/em> measures 60\u00b0. In this triangle, all the three sides will be of different lengths, and the three angles will be of different measures.<\/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-the-formula-for-a-right-angled-triangle\">The Formula for a Right-Angled Triangle<\/h2>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"3-pythagoras-theorem\">Pythagoras theorem<\/h3>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Pythagoras discovered that the hypotenuse square equals the sum of the squares of the other two sides in a right-angled triangle.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-the-perimeter-of-a-right-triangle\">The perimeter of a right triangle<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The perimeter of a right-angled triangle is defined as the total length of the boundary. The formula for perimeter is:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P (perimeter) = <em>a<\/em> + <em>b<\/em> + <em>c<\/em> (sum of the sides of a triangle)<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-area-of-a-right-angled-triangle\">Area of a right-angled triangle<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The area of a right-angled triangle is defined as the space occupied by the triangle. The formula for the area is:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area = $\\frac{1}{2}\\times base\\times height$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples\">Solved Examples<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>The largest side of a triangle is 10 cm. If the height of the triangle is 8 cm, determine the area using the Pythagorean theorem.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"178\" height=\"226\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/largest-side-of-triangle.png\" alt=\"largest side of triangle\" class=\"wp-image-36841\" title=\"largest side of triangle\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The hypotenuse is the longest side of a right triangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, hypotenuse (<em>H<\/em>) = 10 cm, height (<em>h<\/em>) = 8 cm and the base (<em>b<\/em>) is unknown.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">According to the Pythagoras theorem,<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>H<\/em><sup>2<\/sup> = <em>b<\/em><sup>2<\/sup> + <em>h<\/em><sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">10<sup>2<\/sup> = <em>b<\/em><sup>2<\/sup> + 8<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">100 = <em>b<\/em><sup>2<\/sup> + 64<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>b<\/em><sup>2<\/sup> = 36 cm<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>b<\/em> = $\\sqrt{36}$ = 6 cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area = $\\frac{1}{2}\\times base\\times height$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">= $\\frac{1}{2}\\times 6\\times 8 = 24$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the area of the triangle = 24 square cm.<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>The sides of the triangle are in the ratio 3:4:5. The perimeter is 840 m. Find its area.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let the sides of the triangle be 3<em>x<\/em>, 4<em>x<\/em>, and 5<em>x<\/em> respectively.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that the perimeter = 840 m.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3<em>x<\/em> + 4<em>x<\/em> + 5<em>x<\/em> = 840<\/p>\n\n\n\n<p class=\"eplus-wrapper\">12<em>x<\/em> = 840<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>x<\/em> = $\\frac{840}{12}$ = 70<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the sides of the triangle are:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3<em>x<\/em> = 3(70) = 210 m<\/p>\n\n\n\n<p class=\"eplus-wrapper\">4<em>x<\/em> = 4(70) = 280 m<\/p>\n\n\n\n<p class=\"eplus-wrapper\">5<em>x<\/em> = 5(70) = 350 m<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since 350 m is the longest side of the triangle, it is the hypotenuse.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, 210 m and 280 m are the base and the height of the triangle interchangeably.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Using the formula for the area of the right triangle, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area = $\\frac{1}{2}\\times base\\times height = \\frac{1}{2}\\times 210\\times 280 = 29,400$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the area of the given triangle = 29,400 m<sup>2<\/sup><\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>&nbsp;What is the measure of the hypotenuse in a right triangle that has a height equal to 7 cm and the base equal to 5 cm?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Perpendicular height (<em>h<\/em>) = 7 cm, Base (<em>b<\/em>) = 5 cm and Hypotenuse (<em>H<\/em>) = ?<\/p>\n\n\n\n<p class=\"eplus-wrapper\">By Pythagoras Theorem,<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>H<\/em><sup>2<\/sup> = <em>b<\/em><sup>2<\/sup> + <em>p<\/em><sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>H<\/em><sup>2 <\/sup>= 5<sup>2<\/sup> + 7<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>H<\/em><sup>2<\/sup> = 25 + 49<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>H<\/em><sup>2 <\/sup>= 74<br><em>H<\/em> = $\\sqrt{74}$ cm<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Right Triangle<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">In a right angled triangle, side a = 12 and b = 32, and the perimeter of the triangle is 58 cm. Find c, the third side of the triangle.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">44 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">50 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">12 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">14 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: 14 cm<br\/>58 = 12 + 32 + c, c = 14 cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">In a right angled triangle ABC, AB = 23 cm, BC = 14 cm, and CA = 13 cm. What is the perimeter of the triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">234 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">33 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">50 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: 50 cm<br\/>Perimeter = (23 + 14 + 13) cm = 50 cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the measure of the perpendicular height in a right triangle that has a hypotenuse of 13 cm and base equal to 5 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">16 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">10 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">12 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">8 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: 12 cm<br\/>Perpendicular height = $\\sqrt{13^{2}}$ - $\\sqrt{5^{2}}$ = $\\sqrt{169-25}$ = $\\sqrt{144}$ = 12 cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Calculate the hypotenuse of a right triangle that has a perpendicular height of 4 cm and the base equal to 3 cm.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">12 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">6 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: 5 cm<br\/>Hypotenuse = $\\sqrt{4^2} + \\sqrt{3^2} = \\sqrt{16 + 9} = \\sqrt{25}$ = 5 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        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Right Triangle\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Right Triangle\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a right angled triangle, side a = 12 and b = 32, and the perimeter of the triangle is 58 cm. 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$$\\\\sqrt{5^{2}}$$ = $$\\\\sqrt{169-25}$$ = $$\\\\sqrt{144}$$ = 12 cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perpendicular height = $$\\\\sqrt{13^{2}}$$ - $$\\\\sqrt{5^{2}}$$ = $$\\\\sqrt{169-25}$$ = $$\\\\sqrt{144}$$ = 12 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perpendicular height = $$\\\\sqrt{13^{2}}$$ - $$\\\\sqrt{5^{2}}$$ = $$\\\\sqrt{169-25}$$ = $$\\\\sqrt{144}$$ = 12 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perpendicular height = $$\\\\sqrt{13^{2}}$$ - $$\\\\sqrt{5^{2}}$$ = $$\\\\sqrt{169-25}$$ = $$\\\\sqrt{144}$$ = 12 cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"12 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perpendicular height = $$\\\\sqrt{13^{2}}$$ - $$\\\\sqrt{5^{2}}$$ = $$\\\\sqrt{169-25}$$ = $$\\\\sqrt{144}$$ = 12 cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perpendicular height = $$\\\\sqrt{13^{2}}$$ - $$\\\\sqrt{5^{2}}$$ = $$\\\\sqrt{169-25}$$ = $$\\\\sqrt{144}$$ = 12 cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Calculate the hypotenuse of a right triangle that has a perpendicular height of 4 cm and the base equal to 3 cm.\",\n                    \"text\": \"Calculate the hypotenuse of a right triangle that has a perpendicular height of 4 cm and the base equal to 3 cm.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Hypotenuse = $$\\\\sqrt{4^2} + \\\\sqrt{3^2} = \\\\sqrt{16 + 9} = \\\\sqrt{25}$$ = 5 cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Hypotenuse = $$\\\\sqrt{4^2} + \\\\sqrt{3^2} = \\\\sqrt{16 + 9} = \\\\sqrt{25}$$ = 5 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Hypotenuse = $$\\\\sqrt{4^2} + \\\\sqrt{3^2} = \\\\sqrt{16 + 9} = \\\\sqrt{25}$$ = 5 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Hypotenuse = $$\\\\sqrt{4^2} + \\\\sqrt{3^2} = \\\\sqrt{16 + 9} = \\\\sqrt{25}$$ = 5 cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Hypotenuse = $$\\\\sqrt{4^2} + \\\\sqrt{3^2} = \\\\sqrt{16 + 9} = \\\\sqrt{25}$$ = 5 cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Hypotenuse = $$\\\\sqrt{4^2} + \\\\sqrt{3^2} = \\\\sqrt{16 + 9} = \\\\sqrt{25}$$ = 5 cm\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6d05b1bf-538d-42f2-a2c3-2472280fa50f\" 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-0-6d05b1bf-538d-42f2-a2c3-2472280fa50f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6d05b1bf-538d-42f2-a2c3-2472280fa50f\"><strong>Can a right triangle have two equal sides?<\/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-0-6d05b1bf-538d-42f2-a2c3-2472280fa50f\">\n\n<p>A right triangle can also be an isosceles triangle which means that it has two sides and two angles equal. A right isosceles triangle has a 90\u00b0 angle and two 45\u00b0 angles.&nbsp;&nbsp;&nbsp;<\/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-1-6d05b1bf-538d-42f2-a2c3-2472280fa50f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6d05b1bf-538d-42f2-a2c3-2472280fa50f\"><strong>Can 8 cm, 15 cm, and 17 cm form three sides of 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-1-6d05b1bf-538d-42f2-a2c3-2472280fa50f\">\n\n<p>We can check if 8 cm, 15 cm, and 17 cm form three sides of a right triangle using the pythagorean theorem.<\/p>\n\n\n\n<p><em>H<\/em> (Hypotenuse)<sup>2 <\/sup>= <em>P<\/em> (Perpendicular height)<sup>2<\/sup> + <em>B<\/em> (Base)<sup>2<\/sup><\/p>\n\n\n\n<p>&nbsp;172 = 152+82<\/p>\n\n\n\n<p>289 = 225 + 64<\/p>\n\n\n\n<p>289 = 289<\/p>\n\n\n\n<p>Hence verified that 8 cm, 15 cm, and 17 cm can form three sides of a right 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-2-6d05b1bf-538d-42f2-a2c3-2472280fa50f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6d05b1bf-538d-42f2-a2c3-2472280fa50f\"><strong>What are the 3 sides of the right triangle called?<\/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-2-6d05b1bf-538d-42f2-a2c3-2472280fa50f\">\n\n<p>The base, perpendicular height, and hypotenuse are the three sides of a right triangle.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-6d05b1bf-538d-42f2-a2c3-2472280fa50f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6d05b1bf-538d-42f2-a2c3-2472280fa50f\"><strong>What is the pythagorean formula for a right-angled triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-6d05b1bf-538d-42f2-a2c3-2472280fa50f\">\n\n<p>The Pythagoras theorem states the following formula for a right triangle:<em>H<\/em> (Hypotenuse)<sup>2 <\/sup>= <em>P<\/em> (Perpendicular height)<sup>2<\/sup> + <em>B<\/em> (Base)<sup>2<\/sup><\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>A triangle in which one of the interior angles is 90\u00b0 is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base. Here\u2019s what a right triangle looks &#8230; <a title=\"Right Angled Triangle \u2013 Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-triangle\" aria-label=\"More on Right Angled Triangle \u2013 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-1779","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\/1779","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=1779"}],"version-history":[{"count":9,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1779\/revisions"}],"predecessor-version":[{"id":36842,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1779\/revisions\/36842"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1779"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1779"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1779"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}