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The perimeter of a triangle is 53 feet. One side of the triangle is 15 feet shorter than the second side. The third side is 2 feet longer than the second side. Find the length of each side

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Answer:

The sides of the triangle are 7 feet, 22 feet, and 24 feet respectively.

Explanation:

Given that the perimeter of a triangle is 53 feet, and one side of the triangle is 15 feet shorter than the second side, while the third side is 2 feet longer than the second side, to find the length of each side, the following calculation:

53 = X - 15 + X + X + 2

53 + 15 - 2 = 3X

66 = 3X

66/3 = X

22 = X

22 - 15 = 7

22 + 2 = 24

22 + 24 + 7 = 53

Thus, the sides of the triangle are 7 feet, 22 feet, and 24 feet respectively.

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