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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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Misread the question | Comment 2 of 10 |

I was thinking it said there was a guarantee that exaclty one bisector would be integral.  The problem is to prove there cannot be MORE than one.  Whoops.

I don't have time to finish this, but feel free to use my results as a starting point.

 


  Posted by Jer on 2005-03-04 18:52:45
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