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Thursday, September 23, 2010
4th Brazilian Mathematical Olympiad Problems 1982
4th Brazilian Mathematical Olympiad Problems 19821. The angles of the triangle ABC satisfy ∠A/∠C = ∠B/∠A = 2. The incenter is O. K, L are the excenters of the excircles opposite B and A respectively. Show that triangles ABC and OKL are similar.
