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Mathematics
Mathematics
Problem
Vertex
C
C
C
of
△
A
B
C
\triangle ABC
△
A
B
C
moves on a circle with center
(
2
,
3
)
(2, 3)
(
2
,
3
)
and radius
5
5
5
. If vertices
A
A
A
and
B
B
B
are fixed at
(
1
,
1
)
(1, 1)
(
1
,
1
)
and
(
5
,
2
)
(5, 2)
(
5
,
2
)
respectively, find the coordinates of the center of the circle describing the locus of the centroid
G
G
G
.
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