Given the perimeter, what is the area?

A Pythagorean triple (Pt) is a set of 3 positive integers (a, b, c} having the property that they can be respectively the 2 legs and the hypotenuse of a right triangle, thus satisfying the equation a 2 + b 2 = c 2 a^2 + b^2 = c^2 . The triple is said to be a primitive Pythagorean triple (pPt) if and only if a, b and c share no common divisor d > 1. Given: the perimeter of a pPt is 5544. Give as answer the area.


The answer is 1316700.

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