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AP EAMCET201822 Apr 2018Morning ShiftMathematicsProperties of TrianglesActual

In A B C, A 2 + B 2 =

Options

  1. AC 2 4 s
  2. B2 c c 2 a+b+c
  3. C2 c C 2 s
  4. Dc c 2 a+b+c

Correct answer

B. 2 c c 2 a+b+c

Step-by-step solution

aligned & ( A 2 + B 2 )= s(s-a) + s(s-b) & = s 1 s-a + 1 s-b = c s(s-a)(s-b) & = 2 c (a+b+c)(s-a)(s-b) & = 2 c (a+b+c) s(s-c) (s-a)(s-b) = 2 c c 2 a+b+c aligned

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