Difference between revisions of "Mock AIME 6 2006-2007 Problems/Problem 13"
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Revision as of 02:14, 26 November 2023
Problem
Consider two circles of different sizes that do not intersect. The smaller circle has center 
. Label the intersection of their common external tangents 
. A common internal tangent intersects the common external tangents at points 
and 
. Given that the radius of the larger circle is 
, 
, and 
, what is the square of the area of triangle 
?
Solution
~Tomas Diaz. orders@tomasdiaz.com
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
