Consider a triangle ABC each of whose sides and area is an integer.

Prove separately each of these assertions:

(i) Perimeter of triangle ABC is always even.
(ii) Semi-perimeter of triangle ABC is always composite.

I think that my part 2 proof can be extended to prove that if the sides are integral and the area is rational, then either:

Posted by Steve Herman on 2015-01-04 19:20:58