Showing posts with label Brazilian Mathematical Olympiad. Show all posts
Showing posts with label Brazilian Mathematical Olympiad. Show all posts

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. 2.  The remainder on dividing the

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