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11 January, 18:50

The shorter leg of the right triangle is 8 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter of the triangle.

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  1. 11 January, 20:36
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    Hypotenuse = h

    leg1 = h-8

    leg2 = h-1

    h² - (h-8) ² = (h-1) ²

    h² - [h² - 16h + 64] = h² - 2h + 1

    16h - 64 = h² - 2h + 1

    h² - 18h + 65 = 0

    hypotenuse = 13

    leg1 = 13-8 = 5

    leg2 = 13-1 = 12

    Perimeter = 13 + 5 + 12 = 30
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