Question

A triangle has two sides of lengths 10 and 14. What value could the length of the third side be? Check all that apply.

a. 26
b. 2
c. 10
d. 8

Answer 1

(c) and (d)

Explanation:

given 2 sides of a triangle , then the third side , x , is in the interval

difference of 2 sides < x < sum of 2 sides , that is

14 - 10 < x < 14 + 10 , then

4 < x < 24

the only sides in this interval are (c) 10 and (d) 8

Answer 2

10 + 14 > x---->x < 24

10 + x > 14---->x > 4

4 < x < 24

C and D are the correct choices.