Question

Two sides of a triangle have lengths 8 and 17. Which inequalities represent the possible lengths for the third side, x?

9 < x < 17
9 < x < 8
8 < x < 17
9 < x < 25

Answer 1

The answer would be 9< x< 25 because it has to accomplish 3 aspects: 1)No side can be greater than the sum of the other two, 2)It can not be more than 8+17 = 25 and 3)It can not be less than 17-8 = 9

Answer 2

Answer: Fourth option is correct.

Explanation:

Since we have given that

Two sides of a triangle have lengths

`8\ and\ 17`

We need to find the third side :

Since we know that "Sum of two sides is always greater than third side"

So,

Let the third side be x

So, it must be

`17-8<x<17+8\\\\9<x<25`

Hence, Fourth option is correct.