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AP EAMCET2008MathematicsProperties of Triangles

In a triangle, if r₁=2 r₂=3 r₃ , then a b + b c + c a is equal to

Options

  1. A75 60
  2. B155 60
  3. C176 60
  4. D191 60

Correct answer

D. 191 60

Step-by-step solution

Given that, r₁=2 r₂=3 r₃ s-a = 2 s-b = 3 s-c = k Then, s-a=k, s-b=2 k, s-c=3 k array rlrl & 3 s-(a+b+c) & =6 k s=6 k & & a 5 = b 4 & = c 3 =k array Now, aligned a b + b c + c a & = 5 4 + 4 3 + 3 5 & = 75+80+36 60 = 191 60 aligned

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