We appreciate your visit to The measures of three line segments are given in each set Which set of line segments cannot form a triangle A 6 m 49 9. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Among the given sets of line segments, the set that cannot form a triangle is 32.8 m, 48.2 m, 81.1 m. The sum of the lengths of the two shorter sides of a triangle must be greater than the length of the longest side. In this particular set, that condition is not satisfied.
To determine if a set of line segments can form a triangle, we apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In the set 32.8 m, 48.2 m, 81.1 m, let's check the lengths of the sides. The sum of the two shorter sides is 32.8 m + 48.2 m = 81 m, which is equal to the length of the longest side, 81.1 m. In this case, the sum of the two shorter sides is not greater than the longest side, violating the triangle inequality theorem. Therefore, this set of line segments cannot form a triangle.
To learn more about triangle inequality theorem, click here:
brainly.com/question/30956177
#SPJ11
Thanks for taking the time to read The measures of three line segments are given in each set Which set of line segments cannot form a triangle A 6 m 49 9. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
