MathDB

Areas of triangles OKM and OLN are different [ILL 1971]

Source:

January 1, 2011

geometrygeometry proposed

Problem Statement

Suppose that the sides

AB

and

DC

of a convex quadrilateral

ABCD

are not parallel. On the sides

BC

and

AD

, pairs of points

(M,N)

and

(K,L)

are chosen such that

BM=MN=NC

and

AK=KL=LD

. Prove that the areas of triangles

OKM

and

OLN

are different, where

O

is the intersection point of

AB

and

CD

.

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