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Geometry Mathley 7.1 EK = EL

Source:

June 7, 2020

geometrycircumcircle

Problem Statement

Let

ABCD

be a cyclic quadrilateral. Suppose that

E

is the intersection of

AB

and

CD, F

is the intersection of

AD

and

CB, I

is the intersection of

AC

and

BD

. The circumcircles

(FAB), (FCD)

meet

FI

at

K, L

. Prove that

EK = EL

Nguyễn Minh Hà

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