Comse 072 tra Credit problem (due November 13) 3 pts) It is well known that 3, 4, and 5 form a so-called Pythagorean triple in the sense that 32 +42- 52. Prove that if a, b, and c are any three integers with a2 + b2 = c2 then at least one of the integers a, b, and c is divisble by 3, one of them (could be the same one), is divisible by 4, and one of them (again could be the same one) is divisible by 5 Hint: look at cases for a, b, and c modular 3, 4, and 5, respectively