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Math/Geometry

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A correct answer will yield me an "A" all SEMESTER, so help is appreciated

Question:
Can you find a pythagorean triple whose nonhypotunese legs aren't divisible by 12? Whatever the answer, yes or no, it must be proven.

  • Math/Geometry -

    Wow, if this simple question yields an A for the semester, the course must have rather low expectations.

    anyway....

    the simplest Pythagorean triple is 3,4,5

    so just multiply those values by a multiple of 12,
    so 36,48,60
    Verification 36^ + 48^2 = 60^2

    or the triple 5,12, 13 would also do it
    5^2 + 12^ = 13^2

    there is an infinite number of triples for your answer.

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