MathDB

equal areas

Source: Ukraine 1997 grade 10

July 21, 2009

geometryparallelogramgeometry unsolved

Problem Statement

In a parallelogram

ABCD

,

M

is the midpoint of

BC

and

N

an arbitrary point on the side

AD

. Let

P

be the intersection of

MN

and

AC

, and

Q

the intersection of

AM

and

BN

. Prove that the triangles

BDQ

and

DMP

have equal areas.

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