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Mathematics
Mathematics
Problem
In a triangle
A
B
C
,
a
≥
b
≥
c
ABC, a \ge b \ge c
A
B
C
,
a
≥
b
≥
c
. If
a
3
+
b
3
+
c
3
sin
3
A
+
sin
3
B
+
sin
3
C
=
8
\frac{a^3 + b^3 + c^3}{\sin^3 A + \sin^3 B + \sin^3 C} = 8
s
i
n
3
A
+
s
i
n
3
B
+
s
i
n
3
C
a
3
+
b
3
+
c
3
=
8
, then the maximum value of
a
a
a
is a.
1
2
\frac{1}{2}
2
1
b. 2 c. 8 d. 64
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