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## The perimeter of a triangle is 17 inches. The first side is twice the second. The third side is 3 inches less than the second side. Find the

Question

The perimeter of a triangle is 17 inches. The first side is twice the second. The third side is 3 inches less than the second side. Find the measure of the longest side.

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Mathematics
3 years
2021-08-17T06:14:36+00:00
2021-08-17T06:14:36+00:00 1 Answers
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## Answers ( )

Given:Perimeter of a triangle = 17 inches

First side is twice the second.

Third side is 3 inches less than the second side.

To find:The measure of the longest side.

Solution:Let the second side be x. Then,

First side = 2x

Third side = x-3

We know that, perimeter of a triangle is the sum of all three sides of it.

Divide both sides by 4.

Now,

First side = inches

Second side = 5 inches

Third side = inches

Therefore, the measure of the longest side is 10 inches.