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27 March, 22:54

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?

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  1. 28 March, 02:12
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    Answer: 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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