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Sastry's Evil Bisectors (Posted on 2005-03-04) Difficulty: 5 of 5
Prove that if a right triangle has all sides of integral length, then it has at most one angle bisector of integral length.

No Solution Yet Submitted by owl    
Rating: 4.2000 (5 votes)

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Ignoring that case | Comment 5 of 10 |
... it seems the crux is likely to show that, when a^2 + b^2 = c^2 and a, b and c are intergral then (2c) and (b+c) cannot both be perfect squares.

This is just a guess, of course. This question is beyond my skills.
  Posted by vertigo on 2005-03-04 22:21:08
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