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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 measure of the longest side.

User Egemen
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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.


(2x)+x+(x-3)=17


4x-3=17


4x=17+3


4x=20

Divide both sides by 4.


x=5

Now,

First side =
2(5)=10 inches

Second side = 5 inches

Third side =
5-3=2 inches

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

User Chitrank Dixit
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7.8k points

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