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Mathematics
Mathematics
Problem
If
D
,
E
D, E
D
,
E
and
F
F
F
are the mid-points of the sides
B
C
,
C
A
BC, CA
B
C
,
C
A
and
A
B
AB
A
B
respectively of the
△
A
B
C
\triangle ABC
△
A
B
C
and
O
O
O
be any point, then prove that
O
A
+
O
B
+
O
C
=
O
D
+
O
E
+
O
F
\mathbf{OA} + \mathbf{OB} + \mathbf{OC} = \mathbf{OD} + \mathbf{OE} + \mathbf{OF}
OA
+
OB
+
OC
=
OD
+
OE
+
OF
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