MathDB

Geometry

Source: Izho 2016 day 1 p1

January 15, 2016

geometrycircumcircle

Problem Statement

A quadrilateral

ABCD

is inscribed in a circle with center

O

. It's diagonals meet at

M

.The circumcircle of

ABM

intersects the sides

AD

and

BC

at

N

and

K

respectively. Prove that areas of

NOMD

and

KOMC

are equal.

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