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30 November, 21:44

The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. find the lengths of the three sides of the triangle.

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  1. 1 December, 00:09
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    Suppose the shortest leg is x, the hypotenuse is then 3x-8, and the longer leg is 2x+8

    use the pythagorean theorem:

    x^2 + (2x+8) ^2 = (3x-8) ^2

    x^2 + (4x^2+32x+64) = (9x^2-48x+64)

    4x^2-80x=0

    x=0 or x=20

    so the sides are 20, 48, and 52
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