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AP EAMCET202125 Aug 2021Evening ShiftMathematicsProperties of TrianglesActual

Let a, b and c denote the lengths of sides of B C, C A and A B of A B C . In A B C, B A C=30^ and A B C=60^ . Then a: b: c is

Options

  1. A2: 3 : 1
  2. B1: 3 : 2
  3. C1: 2: 3
  4. D2: 1: 3

Correct answer

B. 1: 3 : 2

Step-by-step solution

Given B C=a, C A=b and A B=c To Find a: b: c aligned A C B & =180^ -( B A C+ A B C) & =180^ - (30^ +60^ )=180^ -90^ A C B & =90^ aligned By using sine theorem, aligned & A a = B b = C c & 30^ a = 60^ b = 90^ c & 1 / 2 a = 3 / 2 b = 1 c & a: b: c= 1 2 : 3 2 : 1=1: 3 : 2 aligned

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