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8 February, 12:18

A garden has the shape of a right triangle with one leg 3 meters longer than the other. The hypotenuse is 3 meters less than twice the length of the shorter leg. What is the length of the shorter leg?

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  1. 8 February, 12:52
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    (2x-3) ^2 = (x+3) ^2+x^2

    4x^2+9-12x=x^2+9+6x+x^2

    2x^2-18x=0

    2 (x^2-9x) = 0

    x^2-9x=0

    x (x-9) = 0

    x-9=0

    x=9
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