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2 September, 06:59

a right triangle has a hypotenuse of 58 cm, with legs that differ by 2 cm. find the length of each leg

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  1. 2 September, 09:01
    0
    40 cm and 42 cm

    Step-by-step explanation:

    Two leg length: x and x+2

    x² + (x+2) ² = 58²

    2x² + 4x + 4 = 3364

    2x² + 4x - 3360 = 0

    (x+42) (x-40) = 0

    leg length is a positive number so x = 40

    another leg = 42
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