152k views
3 votes
Based on the given segment lengths, determine whether the segments can form a triangle.11.5,10.5, 6.19.5, 3.5, 4.58, 6.7, 18, 6.7, 9.85, 6, 89.5, 7.5, 8.5

Based on the given segment lengths, determine whether the segments can form a triangle-example-1
User Faceoff
by
8.4k points

1 Answer

1 vote

We will use the triangle inequality theorem to answer. This says that the sum of two side lenghts of a triangle must be greater than the third side.

A: 6.1 + 10.5 = 16.6 > 11.5

11.5,10.5, 6.1 Can form a triangle

B: 4.5+3.5 = 8 < 9

9.5, 3.5, 4.5 Can't form a triangle

C: 1+6.7 = 7.7 < 8

8, 6.7, 1 Can't form a triangle

D: 6.7 + 8 = 14.7 > 9.8

8, 6.7, 9.8 Can form a triangle

E: 5+6 = 11 > 8

5, 6, 8 Can form a triangle

F: 7.5 + 8.5 = 16> 9

9.5, 7.5, 8.5 Can form a triangle

User Schnee
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories