(6 points) Prove that if P is the perimeter of a Pythagorean Triangle with integral sides a , b and c , then P divides ab . (Hin
t: 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 .
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