Question

Recall that under suitable conditions, fundamental Pythagorean Triangles have sides given by formulas: (2mn, m2 − n 2 , m2 + n 2 ). Find ALL fundamental pythagorean triangles whose areas are three times their perimeter. In the box, write an equation involving m and n that must be satisfied, then give all such fundamental Pythagorean triples. Show no other work.

Answer 1