Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 11"
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Revision as of 10:37, 4 April 2012
Problem
is an acute triangle with perimeter 
. 
is a point on 
. The circumcircles of triangles 
and 
intersect 
and 
at 
and 
respectively such that 
and 
. If 
, then the value of 
can be expressed as 
, where 
and 
are relatively prime positive integers. Compute 
.
Solution
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See Also
| Mock AIME 3 Pre 2005 (Problems, Source) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
