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MHT CET20244 May 2024Morning ShiftMathematicsProperties of TrianglesActual

In ABC , with usual notations, if b =3 , c =8, ~m ~A =60^ , then the circumradius of the triangle is units.

Options

  1. A7 3
  2. B7 2 3
  3. C7 3
  4. D7 3 2

Correct answer

C. 7 3

Step-by-step solution

By cosine rule, we get aligned a^2 & =b^2+c^2-2 b c A & =9+64-48 60^ & =73-48 1 2 & =73-24 & =49 a & =7 aligned aligned By sine rule, circumradius & = a ~A & = 7 2 60^ & = 7 2 3 2 & = 7 3 aligned

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