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math

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The longer leg of a right triangle is 3 more than the shorter leg. The Hypotenuse is 6 more than the shorter leg. If the perimeter of the triangle is 36, find the length of each side of the right triangle. [ Only an algebraic solution will be accepted ]

not just the answer , please

  • math -

    shorter leg --- x
    longer leg ---- x+3
    hypotenus ---- x+6

    x+x+3+x+6 = 36
    3x = 27
    x = 9

    short leg = 9
    longer leg = 12
    hypotenuse = 15

    check to make sure it is right-angled:
    9^2 + 12^2 = 225
    15^2 = 225

    all is good.

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