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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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Posts: 153
Registered: 10/3/07
Re: --- --- --- property of a rational right triangle
Posted: Apr 7, 2011 9:19 PM
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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.


The opposite is true. There are many places to look. The paper at
http://www.oberlin.edu/faculty/jcalcut/tanpap.pdf will be helpful.

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