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Re:    property of a rational right triangle
Posted:
Apr 8, 2011 7:49 AM


On Apr 7, 9:19 pm, no comment <adler.m...@gmail.com> wrote: > 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 athttp://www.oberlin.edu/faculty/jcalcut/tanpap.pdfwill be helpful.
   4811 Yes, Professor Calcut, you are right. Your comments are helpful. . Your paper, Rationality and the Tangent Function, is a very useful document.Another reference is: The USSR Olympiad Problem Book, D.O.Shklarsky,et al, pp56. This book is vailable in the US libraries.    



