Difference between revisions of "2001 IMO Shortlist Problems/G5"
(New page: == Problem == Let <math>ABC</math> be an acute triangle. Let <math>DAC,EAB</math>, and <math>FBC</math> be isosceles triangles exterior to <math>ABC</math>, with <math>DA = DC, EA = EB</m...) |
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Latest revision as of 18:47, 20 August 2008
Problem
Let 
be an acute triangle. Let 
, and 
be isosceles triangles exterior to , with 
, and 
, such that
Let 
be the intersection of lines 
and 
, let 
be the intersection of 
and 
, and let 
be the intersection of 
and 
. Find, with proof, the value of the sum
Solution
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