The triangle with sides 3, 4, and 5, is the smallest integer sided pythagorean triangle. Can you prove that in every such triangle:

• at least one of its sides must be multiple of 3?
• at least one of its sides must be multiple of 4?
• at least one of its sides must be multiple of 5?

(In reply to Interesting dialog by brianjn)

http://www.cut-the-knot.org/pythagoras/pythTripleDiv.shtml gives a very understandable proof.

Posted by Richard on 2006-07-03 23:14:48