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Mathematics
Mathematics
Problem
The
△
A
B
C
\triangle ABC
△
A
B
C
is such that the mid-points of the sides
B
C
,
C
A
,
A
B
BC, CA, AB
B
C
,
C
A
,
A
B
are
(
l
,
0
,
0
)
,
(
0
,
m
,
0
)
,
(
0
,
0
,
n
)
(l, 0, 0), (0, m, 0), (0, 0, n)
(
l
,
0
,
0
)
,
(
0
,
m
,
0
)
,
(
0
,
0
,
n
)
respectively. Then,
A
B
2
+
B
C
2
+
C
A
2
l
2
+
m
2
+
n
2
\frac{AB^2 + BC^2 + CA^2}{l^2 + m^2 + n^2}
l
2
+
m
2
+
n
2
A
B
2
+
B
C
2
+
C
A
2
is equal to a. 2 b. 4 c. 8 d. 16
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