Difference between revisions of "2006 AIME A Problems/Problem 6"
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== See also == | == See also == | ||
*[[2006 AIME II Problems]] | *[[2006 AIME II Problems]] | ||
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| + | [[Category:Intermediate Geometry Problems]] | ||
Revision as of 09:36, 16 July 2006
Problem
Square 
has sides of length 1. Points 
and 
are on 
and 
respectively, so that 
is equilateral. A square with vertex 
has sides that are parallel to those of and a vertex on 
The length of a side of this smaller square is 
where 
and 
are positive integers and 
is not divisible by the square of any prime. Find 
