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11 February, 20:28

One leg of a right triangle is 3 millimeters longer than the shorter leg and the hypotenuse is 6 millimeters longer than the shorter leg. find the lengths of the sides of the triangle.

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  1. 11 February, 22:05
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    Suppose the shorter leg is x, then the longer leg is x+3, and the hypotenuse is x+6

    x^2 + (x+3) ^2 = (x+6) ^2

    x^2 + x^2 + 6x + 9=x^2 + 12x + 36

    x^2-6x-27=0

    (x+3) (3-9) = 0

    x=-3, which is impossible, or x=9

    so the shorter leg is 9mm, the longer leg is 12mm, and the hypotenuse is 15mm
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