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AP EAMCET202124 Aug 2021Evening ShiftMathematicsSequences and SeriesActual

If the angles A, B and C of A B C are in arithmetic progression, then

Options

  1. Ab^2=a^2+c^2-a c
  2. Bc^2=b^2+a^2-a b
  3. Ca^2=b^2+c^2-b c
  4. Dc^2=a^2+b^2

Correct answer

A. b^2=a^2+c^2-a c

Step-by-step solution

The angles of A B C are in AP. 2 B=A+C [ A+B+C=180^ ] 2 B=180^ -B B=60^ Now, B= a^2+c^2-b^2 2 a c 60^ = a^2+c^2-b^2 2 a c 1 2 = a^2+c^2-b^2 2 a c b^2=a^2+c^2-a c

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