MathDB
IOQM 2021 P19

Source:

January 17, 2021
IOQMgeometryparallelogram

Problem Statement

Let ABCDABCD be a parallelogram. Let EE and FF be the midpoints of sides ABAB and BCBC respectively. The lines ECEC and FDFD intersect at PP and form four triangles APB,BPC,CPD,DPAAPB, BPC, CPD, DPA. If the area of the parallelogram is 100100, what is the maximum area of a triangles among these four triangles?
Back to ProblemsView on AoPS