MathDB

Easy perpendicularity

Source: Caucasus MO 2024, Juniors P2

March 15, 2024

geometry

Problem Statement

The rhombuses

ABDK

and

CBEL

are arranged so that

B

lies on the segment

AC

and

E

lies on the segment

BD

. Point

M

is the midpoint of

KL

. Prove that

\angle DME=90^{\circ}

.

Back to Problems View on AoPS