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2 votes
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

2 Answers

5 votes
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
User Moo
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7.1k points
5 votes

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.

User Chobeat
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5.9k points