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Posts:
153
Registered:
10/3/07


Re:    property of a rational right triangle
Posted:
Apr 7, 2011 9:19 PM


On Apr 7, 5:38 pm, Deep <deepk...@yahoo.com> wrote: > 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 > triangle. > > 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.
Hello,
The opposite is true. There are many places to look. The paper at http://www.oberlin.edu/faculty/jcalcut/tanpap.pdf will be helpful.



