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AP EAMCET202316 May 2023Morning ShiftMathematicsProperties of TrianglesActual

In A B C , if r₁=2 r₂=3 r₃ , then

Options

  1. Ab+c=2 a
  2. Ba + b =2 c
  3. Ca + c =2 b
  4. D=a b c

Correct answer

C. a + c =2 b

Step-by-step solution

Given, In a A B C , if r₁=2 r₂=3 r₃ Then, we have s-a =2 s-b =3 s-c 1 s-a = 2 s-b = 3 s-c =k (let) 1 s-a =k s-a= 1 k a=s- 1 k ...(i) and 2 s-b =k s-b 2 = 1 k b=s- 2 k ...(ii) and 3 s-c =k s-c 3 = 1 k c=s- 3 k ...(iii) From eqn. (i), (ii) and (iii) a+c=2 b .

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