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Friday, September 17, 2010
54th Polish Mathematical Olympiad Problems 2003
54th Polish Mathematical Olympiad Problems 2003A1. ABC is acute-angled. M is the midpoint of AB. A line through M meets the lines CA, CB at K, L with CK = CL. O is the circumcenter of CKL and CD is an altitude of ABC. Show that OD = OM.
