Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 1"
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Revision as of 15:40, 24 July 2006
1. 
has positive integer side lengths of 
,
, and 
. The angle bisector of 
hits 
at 
. If 
, and the maximum value of ![$\frac{[ABD]}{[ACD]}=\frac{m}{n}$](http://latex.artofproblemsolving.com/6/9/a/69ae08f62f737d02cc9177dd1e54cead84b0cd1f.png)
where 
and 
are relatively prime positive intgers, find 
. (Note ![$[ABC]$](http://latex.artofproblemsolving.com/d/3/3/d33cc80fa8f093e155c5be46d2e5d9da3d7e1ef5.png)
denotes the area of ).
