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10 May, 07:43

The hypotenuse of a right triangle is 4 times the smallest side. The third side is 4√15 cm. Find the length of the smallest side of the triangle.

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Answers (2)
  1. 10 May, 08:21
    0
    The answer is x=4 cm
  2. 10 May, 08:51
    0
    x=4 cm

    Step-by-step explanation:

    x=smallest side

    4x=hypotenuse

    4√15=third side

    use the Pythagorean Theorem

    (4x) ^2=x^2 + (4√15) ^2

    16x^2=x^2+240

    16x^2-x^2=240

    15x^2=240

    x^2=240/15

    x^2=16

    x=√16

    x=4 cm is the smallest side

    the hypotenuse is 16 cm

    the third side is 4√15 cm
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