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AP EAMCET20226 Jul 2022Morning ShiftMathematicsProperties of TrianglesActual

In any triangle ABC , a(b C-c B)=

Options

  1. Ab-c
  2. Bb+c
  3. Cb^2-c^2
  4. Db^2+c^2

Correct answer

C. b^2-c^2

Step-by-step solution

Given expression a (bcosc - B) . aligned & a b C-a c c o s B=a b (a^2+b^2-c^2 ) 2 a b -a c (a^2+c^2-b^2 ) 2 a c & = 1 2 [a^2+b^2-c^2-a^2-c^2+b^2 ] & = 1 2 [2 (b^2-c^2 ) ]=b^2-c^2 aligned

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