Question

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

Answer 1

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