## One side of a triangle is 2 times the second side. The third side is 5 feet longer than the second side. The perimeter of a triangle is 81 f

Question

One side of a triangle is 2 times the second side. The third side is 5 feet longer than the second side. The perimeter of a triangle is 81 feet. Find the length of each side.

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1 week 2021-09-10T14:32:12+00:00 2 Answers 0

First side: 38 Second side: 19 Third side: 24

Step-by-step explanation:

The length of the sides are 19 feet, 24 feet and 38 feet

Step-by-step explanation:

Let x represent the length of the first side of the triangle.

Let y represent the length of the second side of the triangle.

Let z represent the length of the third side of the triangle.

One side of a triangle is 2 times the second side. Assuming it is the first side of the triangle that is 2 times the second side. It means that

x = 2y

The third side is 5 feet longer than the second side. It means that

z = y + 5

The perimeter of a triangle is 81 feet. It means that

x + y + z = 81 – – – – – – – – – 1

Substituting x = 2y and z = y + 5 into equation 1. It becomes

2y + y + y + 5 = 81

4y = 81 – 5 = 76

y = 76/4 = 19

z = y + 5 = 19 + 5 = 24

x = 2y = 2×19 = 38