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Topic: --- --- --- property of a rational right triangle
Replies: 2   Last Post: Apr 8, 2011 7:49 AM

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Sudhangshu Karmakar

Posts: 2
Registered: 3/12/10
Re: --- --- --- property of a rational right triangle
Posted: Apr 8, 2011 7:49 AM
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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.


--- --- --- 4-8-11
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.
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