MathDB

SMT 2018 Geometry #9 cyclic quad

Source:

August 8, 2023

geometry

Problem Statement

Let

ABCD

be a cyclic quadrilateral with

3AB = 2AD

and

BC = CD

. The diagonals

AC

and

BD

intersect at point

X

. Let

E

be a point on

AD

such that

DE = AB

and

Y

be the point of intersection of lines

AC

and

BE

. If the area of triangle

ABY

is

5

, then what is the area of quadrilateral

DEY X

?

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