MathDB

Regional Olympiad - FBH 2012 Grade 9 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2012

September 25, 2018

geometryincenterincircle

Problem Statement

Let

S

be an incenter of triangle

ABC

and let incircle touch sides

AC

and

AB

in points

P

and

Q

, respectively. Lines

BS

and

CS

intersect line

PQ

in points

M

and

N

, respectively. Prove that points

M

N

B

and

C

are concyclic