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10
2016 Guts #10
2016 Guts #10
Source:
December 24, 2016
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle with
A
B
=
13
AB=13
A
B
=
13
,
B
C
=
14
BC=14
BC
=
14
,
C
A
=
15
CA=15
C
A
=
15
. Let
O
O
O
be the circumcenter of
A
B
C
ABC
A
BC
. Find the distance between the circumcenters of triangles
A
O
B
AOB
A
OB
and
A
O
C
AOC
A
OC
.
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