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.

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.

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