MathDB

simple geometry

Source: Mexico 2003

March 2, 2007

geometry

Problem Statement

The quadrilateral

ABCD

has

AB

parallel to

CD

.

P

is on the side

AB

and

Q

on the side

CD

such that

\frac{AP}{PB}= \frac{DQ}{CQ}

. M is the intersection of

AQ

and

DP

, and

N

is the intersection of

PC

and

QB

. Find

MN

in terms of

AB

and

CD

.

Back to Problems View on AoPS