Question

A triangle has two sides of lengths 5 and 13. What value could the length ofthe third side be? Check all that apply.

A. 2
B. 8
C. 10
D. 5
E. 24
F 19

Answer 1

C. 10

Explanation:

The length of any side of a triangle must be between the difference and the sum of the lengths of the other two sides.

Difference of the lengths of the 2 given sides: 13 - 5 = 8

Sum of the lengths of the 2 given sides: 5 + 13 = 18

The third side of the triangle has a length between 8 and 18.

Answer: 10