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MHT CET202120 Sep 2021Morning ShiftMathematicsProperties of TrianglesActual

With usual notations if the angles of a triangle are in the ratio 1: 2: 3 , then their corresponding sides are in the ratio.

Options

  1. A1: 2: 3
  2. B1: 3 : 3
  3. C2 : 3 : 3
  4. D1: 3 : 2

Correct answer

D. 1: 3 : 2

Step-by-step solution

Let the angles be x , 2 x 3 x x +2 x +3 x =180^ 6 x =180^ x =30^ Thus angles of the triangle are 30^ , 60^ , 90^ . aligned & Now, a A = b B = c C & a 30^ = b 60^ = c 90^ a ( 1 2 ) = b ( 3 2 ) = c (1) & 2 a = 2 ~b 3 = c = c 2 and b = 3 c 2 & a : b : c = c 2 : 3 c 2 : c =1: 3 : 2 aligned

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