Date: Apr 7, 2011 8:38 PM
Author: Deep Deb
Subject: ---  ---  ---  property of a rational right triangle

Let ABC be a right triangle such that all the sides and the area are
integers and the angle C is pi/2. Therefore, ABC is a rational right

Conjecture: One of the remaining two angles say A must be rational.
That is A = r.pi where
r = is rational such that 0 < r < 1/2.

Any comment upon the correctness of the conjecture will be
appreciated. Any relevant reference will be very helpful.