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Math Help - fundamental pythagorean triangles

  1. #1
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    fundamental pythagorean triangles

    find all fundamental pythagorean triangles whose areas are three times their perimters.
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Use the fact that if a^2+b^2=c^2 then a=m^2-n^2, b=2mn, c=m^2+n^2 for some integers m,n.
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  3. #3
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    Ive been trying that but I guess ive been doing it wrong.
    if a=mn b=m^2-n^2 and c=m^2+n^2
    and i want the area to be three times the perimeter.

    Area=ab/2 = (mn)*(m^2-n^2) *1/2
    Perimeter = mn + m^2-n^2 + m^2 + n^2 = mn + 2m^2

    I dont really understand what i would do now...??
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