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MHT CET20244 May 2024Morning ShiftMathematicsProperties of TrianglesActual

If the angles of a triangle are in the ratio 4: 1: 1 , then the ratio of the longest side to the perimeter is

Options

  1. A1: 6
  2. B3 :(2+ 3 )
  3. C1:(2+ 3 )
  4. D2: 3

Correct answer

B. 3 :(2+ 3 )

Step-by-step solution

Let the angles of the triangle be 4 x , x and x . aligned & 4 x+x+x=180^ 6 x=180^ x=30^ & 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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