Difference between revisions of "2005 AIME II Problems/Problem 14"

 
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== Solution ==
 
== Solution ==
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{{solution}}
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== See also ==
  
== See also ==
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*[[2005 AIME II Problems/Problem 13| Previous problem]]
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*[[2005 AIME II Problems/Problem 15| Next problem]]
 
* [[2005 AIME II Problems]]
 
* [[2005 AIME II Problems]]

Revision as of 20:15, 7 September 2006

Problem

In triangle $ABC, AB=13, BC=15,$ and $\displaystyle CA = 14.$ Point $D$ is on $\overline{BC}$ with $CD=6.$ Point $E$ is on $\overline{BC}$ such that $\angle BAE\cong \angle CAD.$ Given that $BE=\frac pq$ where $p$ and $q$ are relatively prime positive integers, find $q.$

Solution

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See also