MathDB

PQR similar to DGH

Source: South Africa 1998

September 30, 2005

trigonometrygeometry unsolvedgeometry

Problem Statement

A,\ B,\ C,\ D,\ E

and

F

lie (in that order) on the circumference of a circle. The chords

AD,\ BE

and

CF

are concurrent.

P,\ Q

and

R

are the midpoints of

AD,\ BE

and

CF

respectively. Two further chords

AG \parallel BE

and

AH \parallel CF

are drawn. Show that

PQR

is similar to

DGH