The second side of a triangular deck is 5 feet longer than the shortest side, and the third side is 5 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 72 feet, what are the lengths of the three sides?

the length if the three sides are 31 feet, 23 feet and 18 feet.

Step-by-step explanation:

Let x represent the length of the shortest 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.

The second side of a triangular deck is 5 feet longer than the shortest side. This means that

y = x + 5

The third side is 5 feet shorter than twice the length of the shortest side. This means that

z = 2x - 5

If the perimeter of the deck is 72 feet, it means that

x + x + 5 + 2x - 5 = 72

4x = 72

x = 72/4 = 18

z = 2x - 5 = 2 × 18 - 5

z = 36 - 5

z = 31

y = x + 5 = 18 + 5

y = 23

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step-by-step explanation: