IMO Shortlist 2007 problem G6
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Avg: 8,0 Determine the smallest positive real number with the following property. Let be a convex quadrilateral, and let points , , , and lie on sides , , , and , respectively. Consider the areas of triangles , , and ; let be the sum of the two smallest ones, and let be the area of quadrilateral . Then we always have .
Author: unknown author, USA
Author: unknown author, USA
Izvor: Međunarodna matematička olimpijada, shortlist 2007