Find all possible triplets (A, B, C) of positive integers, with A ≤ B, that satisfy this system of equations:

A² + B² = C², and:

A+B = C+12

(In reply to solution by xdog)

I was about to post my lengthy solution, which produced the same six triplets as in your concise, albeit excellent presentation.

Although I decided not to post "more of the same" I would like to add that if the ban on negative numbers were lifted there would be additional triplets like  (4,3,-5) ,(8,-6,-10)....

Posted by Ady TZIDON on 2015-07-04 13:06:55