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AP EAMCET202317 May 2023Morning ShiftMathematicsProperties of TrianglesActual

In ABC , ( A 2 + B 2 ) C 2 =

Options

  1. A2 c a+b+c
  2. B2 c a+b-c
  3. C2 c^2 a^2+b^2+c^2
  4. Dc a+b+c

Correct answer

A. 2 c a+b+c

Step-by-step solution

aligned & ( A 2 + B 2 ) C 2 & = A 2 C 2 + B 2 C 2 & = (s-b)(s-c) s(s-a) (s-a)(s-b) s(s-c) & + (s-a)(s-c) s(s-b) (s-a)(s-b) s(s-c) & = s-b s + s-a s = 2 s-a-b s & = a+b+c-a-b ( a+b+c 2 ) = 2 c a+b+c aligned

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