TS EAMCET · Maths · Properties of Triangles
In a triangle \(A B C\), if \(a < b < c\) and \(\frac{a^3+b^3+c^3}{\sin ^3 A+\sin ^3 B+\sin ^3 C}=8\), then the maximum value of \(c\) is
- A 3
- B 4
- C 2
- D 6
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
Given that, \(\frac{a^3+b^3+c^3}{\sin ^3 A+\sin ^3 B+\sin ^3 C}=8 \quad \ldots\) (i) Using sine rule for a triangle \(A B C\) \(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}=2 R\) \(\{\) where \(2 R \rightarrow\) circumradius \(\}\)…
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