IMO 2019 Shortlist G5
Let ABCDE be a convex pentagon with CD “ DE and =EDC ‰ 2 ¨ =ADB. Suppose that a point P is located in the interior of th...
Category: Geometry
Problem
Let ABCDE be a convex pentagon with CD “ DE and =EDC ‰ 2 ¨ =ADB.
Suppose that a point P is located in the interior of the pentagon such that AP “ AE and
BP “ BC. Prove that P lies on the diagonal CE if and only if areapBCDq areapADEq “ areapABDq areapABPq.
(Hungary)