MathDB

2002 KJMO P3

Source: 2002 KJMO

June 29, 2024

geometryratio

Problem Statement

For square

ABCD

M

is a midpoint of segment

CD

and

E

is a point on

AD

satisfying

\angle BEM = \angle MED

P

is an intersection of

AM

BE

. Find the value of

\frac{PE}{BP}