MathDB

10

Part of 2012 Sharygin Geometry Olympiad

Problems(1)

Convex quadrilateral

Source: Sharygin Geometry Olympiad 2012 - Problem 10

4/28/2012
In a convex quadrilateral all sidelengths and all angles are pairwise different. a) Can the greatest angle be adjacent to the greatest side and at the same time the smallest angle be adjacent to the smallest side? b) Can the greatest angle be non-adjacent to the smallest side and at the same time the smallest angle be non-adjacent to the greatest side?
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