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?

You can find the multiple of 3 and the multiple of 4 among the legs of the triangle; the multiple of 5 can be any of the three sides.

Posted by Old Original Oskar! on 2006-07-03 10:49:48