MathDB

2023 Iran MO 2nd round P1

Source: 2023 Iran MO

May 17, 2023

geometry

Problem Statement

1. In right triangle

ABC

with \angle{A}= \textdegree{90}, point

P

is chosen.

D \in BC

such that

PD \perp BC

. Let the intersection of

PD

with

AB

and

AC

be

E

and

F

respectively. Denote by

CX,BY,PD

and

Y

as the intersection of

(APE)

and

(APF)

with

BP

and

CP

respectively. Prove that

CX,BY,PD

are concurrent.

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