2003 AIME I Problems/Problem 15: Difference between revisions
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== Solution == | == Solution == | ||
{{soluiton}} | |||
== See also == | == See also == | ||
* [[2003 AIME I Problems/Problem 14 | Previous problem]] | * [[2003 AIME I Problems/Problem 14 | Previous problem]] | ||
* [[2003 AIME I Problems]] | * [[2003 AIME I Problems]] | ||
[[Category:Intermediate Geometry Problems]] | |||
Revision as of 22:23, 4 November 2006
Problem
In 
and 
Let 
be the midpoint of 
and let 
be the point on 
such that 
bisects angle 
Let 
be the point on 
such that 
Suppose that 
meets 
at 
The ratio 
can be written in the form 
where 
and 
are relatively prime positive integers. Find 
