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IMO 2002 — Complete Shortlist Question 11

IMO Shortlist · IMO 2002 — Complete Shortlist

Question 11

For any set S of five points in the plane, no three of which are collinear, let $ M(S) $ and $ m(S) $ denote the greatest and smallest areas, respectively, of triangles determined by three points from S. What is the minimum possible value of $ M(S)/m(S) $?