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MHT CET202411 May 2024Evening ShiftMathematicsProperties of TrianglesActual

The angles of a triangle are in the ratio 5:1:6, then ratio of the smallest side to the greatest side is

Options

  1. A3 +1: 2 2
  2. B2 2 : 3 +1
  3. C2 2 : 3 -1
  4. D3 -1: 2 2

Correct answer

D. 3 -1: 2 2

Step-by-step solution

Let the angles of the triangle be 5 x, x, 6 x array ll & 5 x+x+6 x=180^ & 12 x=180^ & x=15^ array Three angles are 75^ , 15^ , 90^ . aligned & 75^ a = 15^ b = 90^ c =k & b c = 15^ k 90^ k = 3 -1 2 2 1 aligned Required ratio = b : c = 3 -1: 2 2

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