MathDB

AH=AG

Source: CentroAmerican 2003

November 29, 2010

geometry proposedgeometry

Problem Statement

S

is a circle with

AB

a diameter and

t

is the tangent line to

S

at

B

. Consider the two points

C

and

D

on

t

such that

B

is between

C

and

D

. Suppose

E

and

F

are the intersections of

S

with

AH=AG

and

AD

and

G

and

H

are the intersections of

S

with

CF

and

DE

. Show that

AH=AG

.

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