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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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Deep Deb

Posts: 393
Registered: 12/6/04
--- --- --- property of a rational right triangle
Posted: Apr 7, 2011 8:38 PM
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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.



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