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MHT CET202611 April 2026Morning ShiftMathematicsProperties of TrianglesActual

In ABC , with usual notations, if A = 1 2 , a = 3, B = ^c 6 , then the values of b and c are.....

Options

  1. Ab = 3 , c = 3
  2. Bb = 2 3 , c = 3
  3. Cb = 3 , c = 2 3
  4. Db = 3 , c = 1 3

Correct answer

C. b = 3 , c = 2 3

Step-by-step solution

Given A = 1 2 , we have A = 3 . The sum of angles in a triangle is , so C = - (A + B) = - ( 3 + 6 ) = 2 . Using the sine rule, a A = b B = c C . Substituting the given values, 3 ( /3) = b ( /6) = c ( /2) . 3 3 2 = b 1 2 = c 1 . 2 3 = 2b = c . Therefore, b = 3 and c = 2 3 . Answer: b = 3 , c = 2 3

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