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7 January, 14:46

The legs of a right triangle can be represented by x and (x+2). The hypotenuse is 10 centimeters. Find the length of each leg

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  1. 7 January, 15:39
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    6 cm and 8 cm

    Step-by-step explanation:

    Use Pythagorean theorem:

    c² = a² + b²

    10² = x² + (x+2) ²

    100 = x² + x² + 4x + 4

    0 = 2x² + 4x - 96

    0 = x² + 2x - 48

    0 = (x - 6) (x + 8)

    x = 6 or - 8

    x must be positive, so x = 6. Which means x+2 = 8.
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