MathDB

International competition SRMC 2004 P-3

Source:

September 7, 2010

geometrycircumcircleincentertrigonometrygeometry proposed

Problem Statement

In-circle of

ABC

with center

I

touch

AB

and

AC

P

and

Q

respectively.

BI

and

CI

intersect

PQ

K

and

L

respectively. Prove, that circumcircle of

ILK

touch incircle of

ABC

iff

|AB|+|AC|=3|BC|