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The hypotenuse of a right triangle is 1 cm more than twice the shorter leg, and the longer leg is 9 cm less than three times the shorter leg. Find the lengths of the three sides of the triangle..

  • math -

    if the short leg is x,

    x^2 + (3x-9)^2 = (2x+1)^2
    x = 5/3 or 8

    check:
    x=5/3, no good; 3x-9 < 0
    x=8: triangle is 8-15-17
    a well-known Pythagorean triple

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