Pythagorean Triples

Contributed by Mickey Sheu of Naperville North High School.

Method One

Select two integers m and n, such that m > n.

Side a = m² - n²
Side b = 2mn
Side c = m² + n²

Method Two

Select an odd integer n, such that n ? 3.

Side a = n
Side b = ½(n² - 1)
Side c = ½(n² + 1)