Suppose that m and n are positive integers with m > n. If a = m² – n², b = 2mm and c = m² + n² show that a, b, and c are the lengths of the sides of a right triangle. (This formula can be used to find the sides of a right triangle that are integers, such as 3, 4, 5; 5, 12, 13; and so on. Such triplets of integers are called Pythagorean triples.)