{"id":196115,"date":"2025-03-02T20:02:02","date_gmt":"2025-03-02T20:02:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=196115"},"modified":"2025-03-02T20:02:04","modified_gmt":"2025-03-02T20:02:04","slug":"which-student-chase-pieces-that-can-be-used-to-pieces-of-wire-from-box","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/02\/which-student-chase-pieces-that-can-be-used-to-pieces-of-wire-from-box\/","title":{"rendered":"Which student chase pieces that can be used to pieces of wire from box"},"content":{"rendered":"\n

For a craft project four students each chose Ihrec Which student chase pieces that can be used to pieces of wire from box. construct a triangle? Don’s wires measure 3 inches. 5 inches, and 12 incles, Don Margo’s wires measure 6 inches, 8 inches, and 14 Margo inches. Sonj’s wires measure 12 inches, 8 inches, and 17 Sonji inches. Liam Liam’s wires measure 16 inches, 8 inches, and 27 inches. uk_this and recurn<\/p>\n\n\n\n

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

To determine which student’s wires can be used to form a triangle, we need to apply the Triangle Inequality Theorem. The theorem states that for three lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In other words, for three sides ( a ), ( b ), and ( c ), the following inequalities must hold:<\/p>\n\n\n\n

    \n
  1. ( a + b > c )<\/li>\n\n\n\n
  2. ( a + c > b )<\/li>\n\n\n\n
  3. ( b + c > a )<\/li>\n<\/ol>\n\n\n\n

    Now, let’s check each student’s wire lengths:<\/p>\n\n\n\n

    Don’s wires: 3 inches, 5 inches, 12 inches<\/h3>\n\n\n\n
      \n
    • ( 3 + 5 = 8 ) (which is less than 12)<\/li>\n\n\n\n
    • This doesn’t satisfy the Triangle Inequality Theorem. Therefore, Don’s wires cannot form a triangle.<\/li>\n<\/ul>\n\n\n\n

      Margo’s wires: 6 inches, 8 inches, 14 inches<\/h3>\n\n\n\n
        \n
      • ( 6 + 8 = 14 ) (which is equal to 14, not greater)<\/li>\n\n\n\n
      • This doesn’t satisfy the Triangle Inequality Theorem. Therefore, Margo’s wires cannot form a triangle.<\/li>\n<\/ul>\n\n\n\n

        Sonji’s wires: 12 inches, 8 inches, 17 inches<\/h3>\n\n\n\n
          \n
        • ( 12 + 8 = 20 ) (which is greater than 17)<\/li>\n\n\n\n
        • ( 12 + 17 = 29 ) (which is greater than 8)<\/li>\n\n\n\n
        • ( 8 + 17 = 25 ) (which is greater than 12)<\/li>\n\n\n\n
        • All inequalities are satisfied. Therefore, Sonji’s wires can<\/strong> form a triangle.<\/li>\n<\/ul>\n\n\n\n

          Liam’s wires: 16 inches, 8 inches, 27 inches<\/h3>\n\n\n\n
            \n
          • ( 16 + 8 = 24 ) (which is less than 27)<\/li>\n\n\n\n
          • This doesn’t satisfy the Triangle Inequality Theorem. Therefore, Liam’s wires cannot form a triangle.<\/li>\n<\/ul>\n\n\n\n

            Conclusion:<\/h3>\n\n\n\n
              \n
            • Only Sonji<\/strong>‘s wires (12 inches, 8 inches, and 17 inches) satisfy the Triangle Inequality Theorem and can be used to construct a triangle.<\/li>\n<\/ul>\n\n\n\n

              Let me generate the image that visually shows this concept.<\/p>\n\n\n\n

              \"\"<\/figure>\n\n\n\n

              Here is the visual representation showing which sets of wire lengths can and cannot form a triangle based on the Triangle Inequality Theorem. As you can see, only Sonji’s wires (12 inches, 8 inches, and 17 inches) can form a triangle, while the other sets cannot.<\/p>\n","protected":false},"excerpt":{"rendered":"

              For a craft project four students each chose Ihrec Which student chase pieces that can be used to pieces of wire from box. construct a triangle? Don’s wires measure 3 inches. 5 inches, and 12 incles, Don Margo’s wires measure 6 inches, 8 inches, and 14 Margo inches. Sonj’s wires measure 12 inches, 8 inches, […]<\/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-196115","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/196115","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=196115"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/196115\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=196115"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=196115"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=196115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}