A primitive Pythagorean triangle (PPT) is a right triangle whose side lengths are integers that are relatively prime.

1) Prove that the inradius of a PPT has a different parity than the mean of the hypotenuse and the odd leg.

2) Prove that there exists an infinite number of pairs of non-congruent PPTs such that both members of the pair have the same inradius.

(In reply to re: solution by Bractals)

thanks, I forgot to put that at the beginning :-)

Posted by Daniel on 2008-01-27 01:54:02