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20 February, 04:37

Solve by making an equation

The first side of a triangle is twice the length of the second side; the third side is 20 feet less than three times the second side. The perimeter of the triangle is 106 feet. Find the three sides.

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  1. 20 February, 04:59
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    Let the second side be x

    then,

    first side = twice the length of the second side

    = 2x

    third side = 20 feet less than three times the second side

    3 (second side) - 20

    = 3 (2x) - 20

    = 6x - 20

    perimete of a triangle = sum of all sides,

    substitute the values we know,

    and you'll be left with this equation

    106 = x + 2x + 6x - 20

    106 + 20 = 9x

    126 = 9x

    126/9 = x

    14 = x

    so,

    measure of second side = x = 14 feet

    measure of first side = 2x = 2 (14) = 28 feet

    measure of thurd side = 6x - 20 = 6 (14) - 20 = 84 - 20 = 64 feet.
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