Difference between revisions of "2006 AIME A Problems/Problem 12"
| Line 7: | Line 7: | ||
== See also == | == See also == | ||
*[[2006 AIME II Problems]] | *[[2006 AIME II Problems]] | ||
| + | |||
| + | [[Category:Intermediate Geometry Problems]] | ||
Revision as of 10:41, 16 July 2006
Problem
Equilateral 
is inscribed in a circle of radius 2. Extend 
through 
to point 
so that 
and extend 
through 
to point 
so that 
Through 
draw a line 
parallel to 
and through 
draw a line 
parallel to 
Let 
be the intersection of and 
Let 
be the point on the circle that is collinear with 
and and distinct from 
Given that the area of 
can be expressed in the form 
where 
and 
are positive integers, 
and are relatively prime, and 
is not divisible by the square of any prime, find 
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
