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6 April, 03:08

The second side of a triangular deck is 3 feet longer than the shortest side, and the third side is 3 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 80 feet, what are the lengths of the three sides?

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  1. 6 April, 03:31
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    Answer: the lengths are 20 feet, 23 feet and 37 feet

    Step-by-step explanation:

    Let x represent the length of the shorter side of the triangular deck.

    The second side of a triangular deck is 3 feet longer than the shortest side. This means that the length of the second side is (x + 3) feet.

    The third side is 3 feet shorter than twice the length of the shortest side. This means that the length of the third of the triangle is (2x - 3) feet.

    If the perimeter of the deck is 80 feet, it means that

    x + x + 3 + 2x - 3 = 80

    4x = 80

    x = 80/4

    x = 20

    The length of the second side is

    20 + 3 = 23 feet

    The length of the third side is

    20 * 2 - 3 = 40 - 3 = 37 feet
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