MathDB

2018 Geometry #5

Source:

February 12, 2018

geometry

Problem Statement

In the quadrilateral

MARE

inscribed in a unit circle

\omega,

AM

is a diameter of

\omega,

and

E

lies on the angle bisector of

\angle RAM.

Given that triangles

RAM

and

REM

have the same area, find the area of quadrilateral

MARE.