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Which of the following sets of numbers could represent the three sides of a triangle? O {11,17, 26} O {8, 10, 19} Submit Answer O {13, 22, 37} O {8, 11, 20}

Which of the following sets of numbers could represent the three sides of a triangle? O {11,17, 26} O {8, 10, 19} Submit Answer O {13, 22, 37} O {8, 11, 20}

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question:** Which of the following sets of numbers could represent the three sides of a triangle? **Options:** - ○ {11, 17, 26} - ○ {8, 10, 19} - ○ {13, 22, 37} - ○ {8, 11, 20} **Submit Answer Button:** - There is a "Submit Answer" button below the options. **Explanation:** This multiple-choice question asks which given set of numbers can form the sides of a triangle. To address this, apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side for all three combinations of added sides.
Transcribed Image Text:**Question:** Which of the following sets of numbers could represent the three sides of a triangle? **Options:** - ○ {11, 17, 26} - ○ {8, 10, 19} - ○ {13, 22, 37} - ○ {8, 11, 20} **Submit Answer Button:** - There is a "Submit Answer" button below the options. **Explanation:** This multiple-choice question asks which given set of numbers can form the sides of a triangle. To address this, apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side for all three combinations of added sides.
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