MathDB

2008 JBMO Shortlist G4

Source: 2008 JBMO Shortlist G4

October 10, 2017

JBMOgeometry

Problem Statement

Let

ABC

be a triangle, (

BC < AB

). The line

l

passing trough the vertices

C

and orthogonal to the angle bisector

BE

of

\angle B

, meets

BE

and the median

BD

of the side

AC

at points

F

and

G

, respectively. Prove that segment

DF

bisects the segment

EG

.

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