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Manipal MET2011MathematicsProperties of Triangles

In A B C, b-c r₁ + c-a r₂ + a-b r₃ is equal to

Options

  1. A0
  2. Ba b c
  3. Ca+b+c
  4. Da b+b c+c a

Correct answer

A. 0

Step-by-step solution

aligned & Now, b-c r₁ + c-a r₂ + a-b r₃ & = [(b-c)(s-a)+(c-a)(s-b)+(a-b)(s-c)] & =0 aligned

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