A Pythagorean Triple is a group of three integers, such as 3, 4, and 5, that could be the lengths of the sides of a right triangle.
(a) Find two other Pythagorean Triples.
(b) Notice that 3 ( 4 ( 5 = 60. Is the product of the three numbers in each Pythagorean Triple evenly divisible by 3? by 4? by 5?
(c) Write a conjecture involving Pythagorean Triples and divisibility by 60?