{"id":156132,"date":"2022-03-26T01:25:02","date_gmt":"2022-03-25T19:55:02","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/area-of-a-triangle-introduction-formulae-calculation-solved-examples-faqs\/"},"modified":"2022-12-22T21:37:15","modified_gmt":"2022-12-22T16:07:15","slug":"area-of-a-triangle-introduction-formulae-calculation-solved-examples-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/","title":{"rendered":"Area of a Triangle &#8211; Introduction, Formulae, Calculation, Solved Examples &#038; FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#Formulas_to_Calculate_the_Area_of_Triangles\" title=\"Formulas to Calculate the Area of Triangles\">Formulas to Calculate the Area of Triangles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#What_is_an_Area\" title=\"What is an Area?\">What is an Area?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#What_is_a_Triangle\" title=\"What is a Triangle?\">What is a Triangle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#How_to_Find_the_Area_of_a_Triangle\" title=\"How to Find the Area of a Triangle?\">How to Find the Area of a Triangle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#Herons_Formula\" title=\"Heron&#8217;s Formula\">Heron&#8217;s Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#Calculation_of_Semi-Perimeter\" title=\"Calculation of Semi-Perimeter\">Calculation of Semi-Perimeter<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#When_any_two_sides_of_a_Right-Angled_Triangle_are_given\" title=\"When any two sides of a Right-Angled Triangle are given\">When any two sides of a Right-Angled Triangle are given<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#When_the_side_of_the_Equilateral_Triangle_is_given\" title=\"When the side of the Equilateral Triangle is given\">When the side of the Equilateral Triangle is given<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-triangle\/#When_the_Vertices_of_a_Triangle_on_the_Coordinate_Plane_are_given\" title=\"When the Vertices of a Triangle on the Coordinate Plane are given\">When the Vertices of a Triangle on the Coordinate Plane are given<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Formulas_to_Calculate_the_Area_of_Triangles\"><\/span>Formulas to Calculate the Area of Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>and Quadrilaterals<\/p>\n<p>The area of a triangle can be calculated using the following formula:<\/p>\n<p>A = base \u00d7 height<\/p>\n<p>The area of a quadrilateral can be calculated using the following formula:<\/p>\n<p>A = base 1 + base 2 + base 3 + base 4<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156131 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-triangle-introduction-formulae-calculation-solved-examples-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-triangle-introduction-formulae-calculation-solved-examples-faqs.jpg?v=1648238099 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-triangle-introduction-formulae-calculation-solved-examples-faqs-300x212.jpg?v=1648238099 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_an_Area\"><\/span>What is an Area?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An area is a measure of how much space is enclosed by a two-dimensional figure. The area is the product of the length and width of the figure.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Triangle\"><\/span>What is a Triangle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A triangle is a three-sided polygon. It has three vertices and three angles.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_the_Area_of_a_Triangle\"><\/span>How to Find the Area of a Triangle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The area of a triangle is equal to one-half the base multiplied by the height.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Herons_Formula\"><\/span>Heron&#8217;s Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In mathematics, Heron&#8217;s formula, also called Hero&#8217;s formula, is a geometric formula that gives the area of a triangle, in terms of its three sides. The formula states that the area is:<\/p>\n<p>where a, b, and c are the lengths of the triangle&#8217;s sides, and s is its semiperimeter.<\/p>\n<p>Heron&#8217;s formula can also be used to find the length of a side of a triangle, given the other two sides and the triangle&#8217;s area. This is done by solving for c in the equation<\/p>\n<p>where a and b are the other two sides.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Calculation_of_Semi-Perimeter\"><\/span>Calculation of Semi-Perimeter<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Semi-perimeter of a triangle is the sum of the lengths of its sides divided by two.<\/p>\n<p>Semi-perimeter = (length of Side 1 + length of Side 2 + length of Side 3) \/ 2<\/p>\n<h2><span class=\"ez-toc-section\" id=\"When_any_two_sides_of_a_Right-Angled_Triangle_are_given\"><\/span>When any two sides of a Right-Angled Triangle are given<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>, the third side can be found.<\/p>\n<p>The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the long side.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"When_the_side_of_the_Equilateral_Triangle_is_given\"><\/span>When the side of the Equilateral Triangle is given<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If the side of an equilateral triangle is given, the length of the triangle&#8217;s side can be found using the Pythagorean theorem. The equation for the Pythagorean theorem is a^2 + b^2 = c^2, where a, b, and c are the length of the triangle&#8217;s three sides.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"When_the_Vertices_of_a_Triangle_on_the_Coordinate_Plane_are_given\"><\/span>When the Vertices of a Triangle on the Coordinate Plane are given<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If the vertices of a triangle are given as points (x 1 , y 1 ), (x 2 , y 2 ), and (x 3 , y 3 ), then the equation of the triangle is:<\/p>\n<p>y = x 1 2 + x 2 2 + x 3 2<\/p>\n<p>For more visit <a href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/how-to-find-the-area-of-a-triangle-using-vectors\/\">How To Find The Area Of A Triangle Using Vectors?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Formulas to Calculate the Area of Triangles and Quadrilaterals The area of a triangle can be calculated using the following [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Area of a Triangle - Introduction, Formulae, Calculation, Solved Examples & FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Area of a Triangle in detail on infinitylearn.com. 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