MathDB

Prove that DP=DR

Source: Polish Second Round 2001

March 6, 2012

geometry proposedgeometry

Problem Statement

Points

A,B,C

with

AB<BC

lie in this order on a line. Let

ABDE

be a square. The circle with diameter

AC

intersects the line

DE

at points

P

and

Q

with

P

between

D

and

E

. The lines

AQ

and

BD

intersect at

R

. Prove that

DP=DR

.

Back to Problems View on AoPS