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AP EAMCET202423 May 2024Morning ShiftMathematicsProperties of TrianglesActual

In ABC , (r₂+r₃ ) cosec ^2 A 2 =

Options

  1. A4 R
  2. B4 R ^2 A 2
  3. C4 R ^2 A 2
  4. DR ^2 A 2

Correct answer

B. 4 R ^2 A 2

Step-by-step solution

(r₂+r₃ ) cosec ^2 A 2 = ( s-b + s-c ) 1 ^2 A 2 aligned & = (2 s-b-c) (s-b)(s-c) b c (s-b)(s-c) & = a b c (s-b)^2(s-c)^2 = 4 R ^2 (s-b)^2(s-c)^2 [ R= a b c 4 ] & =4 R [ (s-b)(s-c) ]^2=4 R [ 1 A 2 ]^2=4 R ^2 A 2 . aligned

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