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AP EAMCET202317 May 2023Evening ShiftMathematicsProperties of TrianglesActual

In ABC , r ₁- r a + r ₂- r b =

Options

  1. Aa r₃
  2. Bb r ₃
  3. Cc r ₃
  4. D1

Correct answer

C. c r ₃

Step-by-step solution

r₁-r a + r_ 2-r b = s-a - s a + s-b - s b aligned & = a s-s+a s( ~s -a) + b s-s+b s( ~s - b ) = s(s-a) + s(s-b) & = s s-b+s-a (s-a)(s-b) & = (a+b+c-b-a)(s-c) ^2 = c s-c = c r₃ aligned

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