MathDB

8

Part of 2017 Canadian Mathematical Olympiad Qualification

Problems(1)

Dividable quadrilaterals

Source: Canada Repêchage 2017/8

4/13/2017
A convex quadrilateral ABCDABCD is said to be dividable if for every internal point PP, the area of △PAB\triangle PAB plus the area of △PCD\triangle PCD is equal to the area of △PBC\triangle PBC plus the area of △PDA\triangle PDA. Characterize all quadrilaterals which are dividable.
geometry