MathDB

Another parallel

Source: Indian RMO 2001 Problem 1

October 27, 2005

Problem Statement

Let

BE

and

CF

be the altitudes of an acute triangle

ABC

with

E

on

AC

and

F

on

AB

. Let

O

be the point of intersection of

BE

and

M

. Take any line

KL

through

O

with

K

on

AB

and

L

on

LN

. Suppose

CF

and

N

are located on

BE

and

CF

respectively. such that

KM

is perpendicular to

BE

and

LN

is perpendicular to

CF

. Prove that

FM

is parallel to

EN

.

Back to Problems View on AoPS