MathDB

Let

ABCDEF

be a convex hexagon. The diagonals

AC

and

BD

cross at

P,

the diagonals

AE{}

and

DF

cross at

Q,

and the line

PQ

crosses the sides

BC

and

EF

X

and

Y,{}

respectively. Prove that the length of the segment

XY

does not exceed the sum of the lengths of one of the diagonals through

P{}

and one of the diagonals through

Q{}

.
The Problem Selection Committee

Problem Statement