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24 September, 07:55

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. 24 September, 08:17
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    The length of the side of the triangles are;

    First side = 38 ft

    Second side = 19 ft

    Third side = 24 ft

    Step-by-step explanation:

    To solve the question we are going to take;

    Second side is x ft

    Since, the first side is 2 times the second side then;

    First side of the triangle is 2x ft

    Since the third side is 5 ft less than the second side, then;

    The third side is (x+5) ft

    But, the perimeter of the triangle is 81 ft

    Perimeter of a triangle is given by the sum of sides;

    Therefore;

    x + 2x + (x + 5) = 81 ft

    4x + 5 = 81

    4x = 76

    x = 19 ft

    Therefore;

    Second side = 19 ft

    First side = 38 ft

    Third side = 24 ft
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