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AP EAMCET201823 Apr 2018Evening ShiftMathematicsProperties of TrianglesActual

In A B C , if a ^2 C 2 +c ^2 A 2 = 3 b 2 , then

Options

  1. A2 b=a+c
  2. Bb^2=a c
  3. C1 b = 1 a + 1 c
  4. Da=c

Correct answer

A. 2 b=a+c

Step-by-step solution

In a A B C , if aligned & a ^2 C 2 +c ^2 A 2 = 3 b 2 a s(s-c) a b +c s(s-a) b c = 3 b 2 & s b (2 s-a-c)= 3 b 2 s b (b)= 3 b 2 & a+b+c b =3 2 b=a+c . aligned

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