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Canadian Students Math Olympiad
2011 Canadian Students Math Olympiad
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2011 Canadian Students Math Olympiad
Problems
(1)
Canadian Students Math Olympiad 2011 Problem 1
Source:
7/19/2011
In triangle
A
B
C
ABC
A
BC
,
∠
B
A
C
=
6
0
∘
\angle{BAC}=60^\circ
∠
B
A
C
=
6
0
∘
and the incircle of
A
B
C
ABC
A
BC
touches
A
B
AB
A
B
and
A
C
AC
A
C
at
P
P
P
and
Q
Q
Q
, respectively. Lines
P
C
PC
PC
and
Q
B
QB
QB
intersect at
G
G
G
. Let
R
R
R
be the circumradius of
B
G
C
BGC
BGC
. Find the minimum value of
R
/
B
C
R/BC
R
/
BC
.Author: Alex Song
geometry
circumcircle
geometry proposed