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Mathematics
Mathematics
Problem
If
G
G
G
be the centroid of
Δ
A
B
C
\Delta ABC
Δ
A
B
C
, show that
A
B
2
+
B
C
2
+
C
A
2
=
3
(
G
A
2
+
G
B
2
+
G
C
2
)
.
AB^2 + BC^2 + CA^2 = 3(GA^2 + GB^2 + GC^2).
A
B
2
+
B
C
2
+
C
A
2
=
3
(
G
A
2
+
G
B
2
+
G
C
2
)
.
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