Difference between revisions of "2002 AIME I Problems/Problem 13"

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== See also ==
* [[2002 AIME I Problems/Problem 12| Previous problem]]
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{{AIME box|year=2002|n=I|num-b=12|num-a=14}}
 
 
* [[2002 AIME I Problems/Problem 14| Next problem]]
 
 
 
* [[2002 AIME I Problems]]
 

Revision as of 14:15, 25 November 2007

Problem

In triangle $ABC$ the medians $\overline{AD}$ and $\overline{CE}$ have lengths 18 and 27, respectively, and $AB=24$. Extend $\overline{CE}$ to intersect the circumcircle of $ABC$ at $F$. The area of triangle $AFB$ is $m\sqrt{n}$, where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. Find $m+n$.

Solution

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See also

2002 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
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All AIME Problems and Solutions