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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

Verified Answer :

pkmnmushy

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: Fourth option is correct.

Step-by-step 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

Hence, Fourth option is correct.