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MHT CET202121 Sep 2021Evening ShiftMathematicsProperties of TrianglesActual

With usual notations, perimeter of a triangle ABC is 6 times the arithmetic mean of since of its angles. If a=1 , then measure of angle A =

Options

  1. A^c 3
  2. B^c 2
  3. C^c 4
  4. D^c 6

Correct answer

D. ^c 6

Step-by-step solution

aligned & Let a A = b B = c C = k & A = a k , B = b k , C = c k aligned With usual notations, from the given data, we write aligned & a + b + c =6 [ ( a k + b k + c k ) 3 ] & ( a + b + c )= 2( a + b + c ) k k =2 & A = a k = 1 2 A = ^ c 6 aligned

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