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AP EAMCET20226 Jul 2022Evening ShiftMathematicsProperties of TrianglesActual

In a A B C, a-b a+b =

Options

  1. A( A-B 2 ) C 2
  2. B( A+B 2 ) C 2
  3. C( A-B 2 ) C 2
  4. D( A+B+C 2 )

Correct answer

C. ( A-B 2 ) C 2

Step-by-step solution

aligned & a-b a+b = k A-k B k A+k B apply sine rule & = 2 ( A+B 2 ) ( A-B 2 ) 2 ( A+B 2 ) ( A-B 2 ) & = ( A+B 2 ) ( A-B 2 ) & = (90^ - c 2 ) ( A-B 2 ) & = C 2 ( A-B 2 ) aligned

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