{"id":156188,"date":"2022-03-26T01:28:46","date_gmt":"2022-03-25T19:58:46","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/area-of-scalene-triangle-introduction-formulae-methods-solved-examples\/"},"modified":"2022-12-22T21:37:27","modified_gmt":"2022-12-22T16:07:27","slug":"area-of-scalene-triangle-introduction-formulae-methods-solved-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-scalene-triangle\/","title":{"rendered":"Area of Scalene Triangle &#8211; Introduction, Formulae, Methods &#038; Solved Examples"},"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-scalene-triangle\/#Introduction_to_Area_of_Scalene_Triangle\" title=\"Introduction to Area of Scalene Triangle\">Introduction to Area of Scalene Triangle<\/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-scalene-triangle\/#Properties_of_a_Scalene_Triangle\" title=\"Properties of a Scalene Triangle\">Properties of a Scalene Triangle<\/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-scalene-triangle\/#Types_of_Scalene_Triangle\" title=\"Types of Scalene Triangle\">Types of Scalene Triangle<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-scalene-triangle\/#Types_of_Scalene_Triangle-2\" title=\"Types of Scalene Triangle\">Types of Scalene Triangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-scalene-triangle\/#First_Method\" title=\"First Method:-\">First Method:-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-scalene-triangle\/#Second_Method\" title=\"Second Method:-\">Second Method:-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-scalene-triangle\/#Third_Method\" title=\"Third Method:-\">Third Method:-<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_to_Area_of_Scalene_Triangle\"><\/span>Introduction to Area of Scalene Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A scalene triangle is a triangle that has no equal sides and no equal angles. The length of each side is different, and the angles are also different. This type of triangle is often used in math problems, because it is easy to create and to solve.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156187 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-scalene-triangle-introduction-formulae-methods-solved-examples.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-scalene-triangle-introduction-formulae-methods-solved-examples.jpg?v=1648238322 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-scalene-triangle-introduction-formulae-methods-solved-examples-300x212.jpg?v=1648238322 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_a_Scalene_Triangle\"><\/span>Properties of a Scalene Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A scalene triangle has three unequal sides. The angles between the sides are also unequal. The longest side is called the base, and the other two sides are called the legs.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Scalene_Triangle\"><\/span>Types of Scalene Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three types of scalene triangles: isosceles, equilateral, and right. An isosceles triangle has two sides of the same length. An equilateral triangle has all three sides of the same length. A right triangle has one right angle.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Types_of_Scalene_Triangle-2\"><\/span>Types of Scalene Triangle<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">The scalene triangle also has types, those are given below:<\/p>\n<ul>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Acute-angled scalene triangle: when the circumcenter lies inside the triangle.<\/p>\n<\/li>\n<\/ul>\n<ul>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Obtuse-angled scalene triangle: when the circumcenter lies outside the triangle.<\/p>\n<\/li>\n<\/ul>\n<ul>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Right-angled scalene triangle: when the circumcenter is at the midpoint of the hypotenuse.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">In this article, we will get to know about different types of ways through which we can measure the area of the scalene triangle. The area is the total amount of space it occupies. The area can be calculated by the base and altitude or by knowing the length of the three sides or by the length of any two sides and the angle between them.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"First_Method\"><\/span>First Method:-<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">The first method by which an area can be calculated is if we know its base and altitude.<\/p>\n<p dir=\"ltr\">The area of a scalene triangle is given as =1\/2 \u00d7 base \u00d7 height (altitude) sq. units<\/p>\n<p dir=\"ltr\">=1\/2 \u00d7 b \u00d7 h sq. units<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Second_Method\"><\/span>Second Method:-<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">The second method by which area can be calculated is if the length of all three sides is given.<\/p>\n<p dir=\"ltr\">The area is calculated through Heron\u2019s Formula i.e.= \u221as(s\u2212a)(s\u2212b)(s\u2212c) sq.units.<\/p>\n<p dir=\"ltr\">Here, a, b and c; are the length of the sides of the given triangle and s is the semi-perimeter of the triangle i.e. (a+b+c)\/2<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Third_Method\"><\/span>Third Method:-<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">This method is used if we know the length of any two sides of a triangle and the angle between them.<\/p>\n<p dir=\"ltr\">Area of triangle= 1\/2 \u00d7 a \u00d7 b \u00d7 sinC sq units.<\/p>\n<p dir=\"ltr\">Here, a and b are the length of the two sides and c is the given angle between them. These methods are very important in the study of triangles and mostly all the questions are based on this research.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to Area of Scalene Triangle A scalene triangle is a triangle that has no equal sides and no equal [&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 Scalene Triangle - Introduction, Formulae, Methods & Solved Examples","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Area of Scalene Triangle in detail on infinitylearn.com. Know more about the Area of Scalene Triangle definition, Formulae, Methods and Solved Examples for better understanding. 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