Difference between revisions of "2004 AIME II Problems/Problem 13"

 
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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
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* [[2004 AIME II Problems/Problem 12 | Previous problem]]
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* [[2004 AIME II Problems/Problem 14 | Next problem]]
 
* [[2004 AIME II Problems]]
 
* [[2004 AIME II Problems]]

Revision as of 23:55, 10 November 2006

Problem

Let $ABCDE$ be a convex pentagon with $AB || CE, BC || AD, AC || DE, \angle ABC=120^\circ, AB=3, BC=5,$ and $\displaystyle DE = 15.$ Given that the ratio between the area of triangle $ABC$ and the area of triangle $EBD$ is $m/n,$ where $m$ and $n$ are relatively prime positive integers, find $m+n.$

Solution

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See also