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AP EAMCET202423 May 2024Morning ShiftMathematicsProperties of TrianglesActual

In ABC , r₂ (r₁+r₃ ) r₁ r₂+r₂ r₃+r₃ r₁ =

Options

  1. Aa
  2. Bb
  3. Cc
  4. Ds

Correct answer

B. b

Step-by-step solution

aligned & r₂ (r₁+r₃ ) r₁ r₂+r₂ r₃+r₃ r₁ & = s-b ( s-a + s-c ) ^2 (s-a)(s-b) + ^2 (s-b)(s-c) + ^2 (s-c)(s-a) & = ^2 s-b ( s-c-s-a (s-a)(s-c) ) s-c+s-a+s-b (s-a)(s-b)(s-c) = (2 s-c-a) (s-a)(s-b)(s-c) 3 s-(a+b+c) (s-a)(s-b)(s-c) & = b (s-a)(s-b)(s-c) (s-a)(s-b)(s-c) s & = b s(s-a)(s-b)(s-c) =b aligned

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