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AP EAMCET202123 Aug 2021Morning ShiftMathematicsProperties of TrianglesActual

If the angles of a triangle are in the ratio 1: 2: 3 , the corresponding sides are in the ratio

Options

  1. A2: 3 : 1
  2. B1: 3 : 2
  3. C1: 2: 3
  4. D3 : 2: 1

Correct answer

B. 1: 3 : 2

Step-by-step solution

Let A B C be triangle and given that, A: B: C=1: 2: 3 Let the ratio be ' x ', then A=x, B=2 x, C=3 x Using angle sum property, aligned & A+ B+ C=180^ & x+2 x+3 x=180 x=30 & A=30, B=60, C=90^ aligned Using sine law of triangles, aligned & A a = B b = C c 30^ a & = 60^ b = 90^ c & 1 2 a = 3 2 b = 1 c 1 a = 3 b = 2 c & a: b: c=1: 3 : 2 aligned

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