MathDB

2021 Team #2

Source:

June 27, 2021

geometryright triangle

Problem Statement

Let

ABC

be a right triangle with

\angle A= 90^{\circ}

. A circle

\omega

centered on

BC

is tangent to

AB

at

D

and

AC

at

E

. Let

F

and

G

be the intersections of

\omega

and

BC

so that

F

lies between

B

and

G

. If lines

DG

and

EF

intersect at

X

, show that

AX=AD.

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