(6 points) Prove that if P is the perimeter of a Pythagorean Triangle with integral sides a , b and c , then P divides ab . (Hint: Use the formula on the bottom of page 74 for the description of Pythagorean triples) (b) (4 points) Prove that if a Pythagorean Triangle has even sides, then its perimeter, P , divides its area, A .
