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Mathematics
Mathematics
Problem
In a triangle ABC,
a
≥
b
≥
c
a \ge b \ge c
a
≥
b
≥
c
. If
a
3
+
b
3
+
c
3
sin
3
A
+
sin
3
B
+
sin
3
C
=
27
\frac{a^3+b^3+c^3}{\sin^3 A + \sin^3 B + \sin^3 C} = 27
s
i
n
3
A
+
s
i
n
3
B
+
s
i
n
3
C
a
3
+
b
3
+
c
3
=
27
, then the maximum value of a. (a)
3
2
\frac{3}{2}
2
3
(c) 3 (b) 2 (d) cannot be determined
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