Thursday, September 16, 2010

2nd Balkan Mathematical Olympiad Problems 1985

2nd Balkan Mathematical Olympiad Problems 1985A1.  ABC is a triangle. O is the circumcenter, D is the midpoint of AB, and E is the centroid of ACD. Prove that OE is perpendicular to CD iff AB = AC. A2.  The reals w, x
di
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