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a right triangle has legs of length 3x and 4x and hypotenuse of length 75. What are the lengths of the legs of the triangle.

  • geometry -

    Yse the Pythagorean theorem to show that the hypotenuse is

    5x = 75
    x = 15.
    Take it from there

  • geometry -

    Pythagorean theorem

    (leg)^2 + (leg)^2= (hypoyenuse)^2

    (3x)^2 + (4x)^2 =(75)^2
    9x^2 +16x^2 = 5625
    25x^2=5625 ]:25
    so, first leg is 3*15=45
    second leg is 4*15=60.

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