A set of integers a, b, and c is called a Pythagorean triple if . For example, the integ...

A set of integers a, b, and c is called a Pythagorean triple if . For example, the integers 3, 4, and 5 form a Pythagorean triple because To find Pythagorean triples, use the following formula. Let m and n be integers. If then a, b, and c are a Pythagorean triple. Write a program that prompts the user to enter values for m and n and then outputs the Pythagorean triple corresponding to m and n.