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25 January, 21:45

The hypotenuse of a right triangle is 4 times the smallest side. the third side is the square root of 735. find the hypotenuse and the smallest side.

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  1. 25 January, 22:03
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    smallest side = x

    hypotenuse = 4x

    By the Pythagorean theorem:

    (4x) ² - x² = (√735) ²

    16x² - x² = 735

    15x² = 735

    x² = 735/15

    x² = 49

    x = √49

    x = 7 ← smallest side

    hypotenuse = 4x = 4*7 = 28
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