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1900
Circumradius and Inradius
Editorial
geometry
triangles
incircles
circles
trigonometry
In triangle
A
B
C
ABC
A
B
C
, let
R
R
R
be the circumradius and
r
r
r
the inradius. Given that
R
=
3
r
R = 3r
R
=
3
r
, compute
cos
A
+
cos
B
+
cos
C
.
\cos A + \cos B + \cos C.
cos
A
+
cos
B
+
cos
C
.
Express your answer as a fraction in lowest terms.
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