1.6:4

A Pythagorean triple is a triple (a,b,c) of positive integers such that a+b=c.A Pythagorean triple is a triple (a,b,c) is primitive if a, b, and c have no common factor. The tablet Plimpton 322 indicates that the ancient Babylonians discovered the following method for generating all primitive Pythagorean tribles. Start with relatively prime (i.e., no common factors) positive integers u and v, u >v, and then define a=u-v, b=2uv, and c=u+v.

a.Verify that (a,b,c) is a Pythagorean triple

b.Verify that a,b, and c are all even if u and v are both odd