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MHT CET202313 May 2023Morning ShiftMathematicsSequences and SeriesActual

Angles of a triangle are in the ratio 4: 1: 1 . Then the ratio of its greatest side to its perimeter is

Options

  1. A3:(2+ 3 )
  2. B3 :(2+ 3 )
  3. C3 :(2- 3 )
  4. D1:(2+ 3 )

Correct answer

B. 3 :(2+ 3 )

Step-by-step solution

Let the angles of the triangle be 4 x, x and x . 4 x+x+x=180^ 6 x=180^ x=30^ By sine rule, aligned & 120^ a = 30^ b = 30^ c & a :( a + b + c ) & = ( 120^ ): ( 120^ + 30^ + 30^ ) & = 3 2 : 3 +2 2 = 3 : 3 +2 aligned

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