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TS EAMCET · Maths · Properties of Triangles

The perimeter of a \(\triangle \mathrm{ABC}\) is 6 times the arithmetic mean of the values of the sine of its angles. If its side \(\mathrm{BC}\) is of unit length, then \(\angle \mathrm{A}=\)

  1. A \(\frac{\pi}{6}\)
  2. B \(\frac{\pi}{3}\)
  3. C \(\frac{\pi}{2}\)
  4. D \(\pi\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{\pi}{6}\)

Step-by-step Solution

Detailed explanation

\(6\left(\frac{\sin \mathrm{A}+\sin \mathrm{B}+\sin \mathrm{C}}{3}\right)=a+b+c\)…