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February 28, 2015

February 28, 2015

Posted by **Trevor** on Wednesday, February 25, 2009 at 11:59am.

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 -
**Reiny**, Wednesday, February 25, 2009 at 12:23pmWow, 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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