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AP EAMCET20228 Jul 2022Morning ShiftMathematicsProperties of TrianglesActual

In any triangle ABC , A 2

Options

  1. A2 a b c
  2. Ba 2 b c
  3. C3 a b c
  4. Db c 2 a

Correct answer

B. a 2 b c

Step-by-step solution

a A = b B = c C =k a = k A , b = k B , c = k C a b + c = A B + C = 2 A 2 + A 2 2 B + C 2 + B - C 2 a b + c = A 2 + A 2 A 2 + B - C 2 A 2 = a b + c ( B - C 2 ) B - C 2 in acuite ( B - C 2 ) 2 1 A 2 a b+c ...(i) We have GM AM aligned & 2 b c b+c & 1 b+c 1 2 b c aligned from (i) A 2 " a 2 bc

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