Question

a triangle has two sides of lengths 5 and 12. What value could the length of the third side be? Check all that apply. Apex

Answer 1

The third side should be more than 7 and less than 17

Explanation:

Sum of lengths any 2 sides of a triangle should be greater than the length of the third side. Here lengths of 2 sides of a triangle are given. So,

5 + 12 > Length of third side

=> 17 > Length of third side

or

=> Length of third side < 17

Let's assume that the side with 12 as length be the longest side of the triangle. So,

5 + length of the third side > 12

(or)

12 < 5 + length of the third side

Here if we gonna add 7 , then it will be equal to 12 . So the length of the third side should be more than 7 .