1967 IMO Problems/Problem 4
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Let 
and 
be any two acute-angled triangles. Consider all triangles 
that are similar to 
(so that vertices 
, 
, 
correspond to vertices 
, 
, 
, respectively) and circumscribed about triangle (where 
lies on 
, 
on 
, and 
on 
). Of all such possible triangles, determine the one with maximum area, and construct it.
Solution
The solution to this problem can be found here: [1]
