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AP EAMCET201823 Apr 2018Morning ShiftMathematicsProperties of TrianglesActual

In A B C, r₁-r a + r₂-r b + r₃-r c =

Options

  1. Ar₁+r₂+r₃ s
  2. Br₁+r₂+r₃ 2 s
  3. Cr₁+r₂+r₃ 2
  4. Dr₁+r₂+r₃ 3 s

Correct answer

A. r₁+r₂+r₃ s

Step-by-step solution

In A B C , aligned & r₁-r a + r₂-r b + r₃-r c & = s-a - s a + s-b - s b + s-c - s c & [r₁= s-a r₂= s-b r₃= s-c and r= s ] & = (s-s+a) a s(s-a) + (s-s+b) b s(s-b) + (s-s+c) c s(s-a) & = s-a 1 s + s-b 1 s + s-c 1 s & = r₁ s + r₂ s + r₃ s = r₁+r₂+r₃ s & aligned

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