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30
2014 Guts #30: OI parallel to side
2014 Guts #30: OI parallel to side
Source:
August 26, 2014
geometry
circumcircle
incenter
trigonometry
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle with circumcenter
O
O
O
, incenter
I
I
I
,
∠
B
=
4
5
∘
\angle B=45^\circ
∠
B
=
4
5
∘
, and
O
I
∥
B
C
OI\parallel BC
O
I
∥
BC
. Find
cos
∠
C
\cos\angle C
cos
∠
C
.
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