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30 December, 10:23

The longer leg of a right triangle is 4cm longer than the shorter leg the hypotenuse is 8 cm longer than the shorter find the side lengths of the triangle

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  1. 30 December, 12:06
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    Let x be length of shorter leg

    4cm longer than the shorter leg x + 4 = length of longer leg

    hypotenuse is 8 cm longer than the shorter

    x + 8 = length of hypotenuse

    phytagorus rule

    x^2 + (x+4) ^2 = (x+8) ^2

    x^2 + x^2 + 8 x + 4^2 = x^2 + 16x + 8^2

    x^2 - 8x - 48 = 0

    (x + 4) (x - 12) - 0

    x = - 4 we reject negative number

    so x = 12
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