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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.