MathDB

CP//BQ , midpoints, 2012 Cuba MO 2.2

Source:

September 18, 2024

geometryparallel

Problem Statement

Given the triangle

ABC

, let

L

,

M

and

N

be the midpoints of

BC

,

CA

and

AB

respectively. The lines

LM

and

LN

cut the tangent to the circumcircle at

A

at

P

and

Q

respectively . Prove that

CP \parallel BQ

.

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