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MHT CET20249 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

For the triangle ABC , with usual notations, if the angles A, B, C are in A.P. and m A =30^ , c =3 , then the values of a and b are respectively

Options

  1. A3 2 , 3 2
  2. B3 2 , 3 3 2
  3. C3 3 2 , 3 2
  4. D3 2 , 3 2

Correct answer

B. 3 2 , 3 3 2

Step-by-step solution

Angles A, B, C are in A.P. array ll & A + C =2 ~B & Also , ~A + B + C =180^ & 2 ~B + B =180^ & B =60^ & A =30^ ...[Given] & C =90^ array Using sine Rule array ll & a A = b B = c C & a 30 = b 60 = 3 90 & a 1 2 = b 3 2 = 3 1 & 2 a=3, 2 b 3 =3 array aligned & a = 3 2 & ~b = 3 3 2 aligned

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