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AP EAMCET2015MathematicsProperties of Triangles

If in a A B C, r₁=2 r₂=3 r₃ , then the perimeter of the triangle is equal to

Options

  1. A3a
  2. B3b
  3. C3c
  4. D3 (a+b+c)

Correct answer

B. 3b

Step-by-step solution

Given that, r₁=2 r₂=3 r₃ Now, adding Eqs. (i), (ii) and (iii), we get aligned & (s-a)+(s-b)+(s-c)= K +2 K +3 K & 3 s-(a+b+c)=6 K aligned Since, we know a+b+c=2 s aligned & 3 s-2 s=3(s-b) & s=3 s-3 b & 2 s=3 b aligned

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