MathDB

Maximum Area of PDE

Source: 1992 Japan Mathematical Olympiad Finals, Problem 2

November 2, 2009

geometry

Problem Statement

Suppose that

D,\ E

are points on

AB,\ AC

\triangle{ABC}

with area

1

respectively and

P

BE\cap CD

. When

D,\ E

move on

AB,\ AC

with satisfying the condition [BCED] \equal{} 2\triangle{PBC}, find the maximum area of

\triangle{PDE}