{"id":222376,"date":"2025-05-31T09:41:11","date_gmt":"2025-05-31T09:41:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=222376"},"modified":"2025-05-31T09:41:14","modified_gmt":"2025-05-31T09:41:14","slug":"the-triangle-in-the-image-is-scalene-right","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/31\/the-triangle-in-the-image-is-scalene-right\/","title":{"rendered":"The triangle in the image is Scalene Right."},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is<\/mark><\/strong>:<\/p>\n\n\n\n

The triangle in the image is Scalene Right<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To classify the triangle, we analyze its sides and angles:<\/p>\n\n\n\n

Step 1: Check the angles<\/h4>\n\n\n\n

The triangle has the following angles:<\/p>\n\n\n\n

    \n
  • \u2220FEG = 90\u00b0<\/li>\n\n\n\n
  • \u2220EFG = 56\u00b0<\/li>\n\n\n\n
  • \u2220EGF = 34\u00b0<\/li>\n<\/ul>\n\n\n\n

    Since one angle is exactly 90\u00b0<\/strong>, this is a right triangle<\/strong> by definition.<\/p>\n\n\n\n

    Step 2: Check the sides<\/h4>\n\n\n\n

    The side lengths are:<\/p>\n\n\n\n

      \n
    • FG = 8.15<\/li>\n\n\n\n
    • EF = 4.52<\/li>\n\n\n\n
    • EG = 6.78<\/li>\n<\/ul>\n\n\n\n

      All three sides have different lengths<\/strong>, meaning the triangle is scalene<\/strong> (a triangle with all sides of different lengths).<\/p>\n\n\n\n

      Step 3: Triangle type conclusion<\/h4>\n\n\n\n
        \n
      • Since the triangle has one 90\u00b0 angle \u2192 Right Triangle<\/strong><\/li>\n\n\n\n
      • Since all three sides are of different lengths \u2192 Scalene Triangle<\/strong><\/li>\n<\/ul>\n\n\n\n

        Therefore, the triangle is a Scalene Right Triangle<\/strong>.<\/p>\n\n\n\n

        Why other options are incorrect:<\/h3>\n\n\n\n
          \n
        • Scalene Obtuse<\/strong>: This would require one angle to be greater than 90\u00b0, which it is not.<\/li>\n\n\n\n
        • Isosceles Right<\/strong>: Would require two sides of equal length and a 90\u00b0 angle. The sides are not equal.<\/li>\n\n\n\n
        • Equilateral<\/strong>: All sides and all angles would need to be equal, which is not the case.<\/li>\n\n\n\n
        • Isosceles Acute\/Obtuse<\/strong>: Would require two sides of equal length and no 90\u00b0 angle (acute or one angle > 90\u00b0).<\/li>\n\n\n\n
        • Scalene Acute<\/strong>: All angles would need to be less than 90\u00b0, but one is exactly 90\u00b0.<\/li>\n<\/ul>\n\n\n\n

          Final Answer:<\/h3>\n\n\n\n

          \u2705 Scalene Right<\/strong><\/p>\n\n\n\n

          \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

          The Correct Answer and Explanation is: The triangle in the image is Scalene Right. Explanation: To classify the triangle, we analyze its sides and angles: Step 1: Check the angles The triangle has the following angles: Since one angle is exactly 90\u00b0, this is a right triangle by definition. Step 2: Check the sides The […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-222376","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/222376","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=222376"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/222376\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=222376"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=222376"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=222376"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}