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KCET2008MathematicsProperties of Triangles

The angles A, B and C of a triangle A B C are in AP. If b : c = 3 : 2 , then the angle A is

Options

  1. A30^
  2. B15^
  3. C75^
  4. D45^

Correct answer

C. 75^

Step-by-step solution

Since A, B, C are in AP. B= A+C 2 B =90^ - B 2 ( A + B + C =180^ ) B =60^ Using sine rule, B b = C c 60^ 3 = C 2 3 2 3 = C 2 C= 1 2 aligned & C &=45^ A &=180^ - (60^ +45^ ) &=75^ aligned

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