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AP EAMCET202318 May 2023Morning ShiftMathematicsProperties of TrianglesActual

In ABC , if a ^2 ^2 C 2 + c ^2 A 2 = b 2 , then a + c : b =

Options

  1. A2: 1
  2. B1: 2
  3. C3: 2
  4. D4: 3

Correct answer

A. 2: 1

Step-by-step solution

a ^2 C 2 +C ^2 A 2 = b 2 aligned & a(s-b)(s-a) a b + c(s-b)(s-c) b c = b 2 & 2(s-b)[s-a+s-c]=b^2 & 2(s-b)[a+b+c-a-c]=b^2 & (2 s-2 b) b=b^2 & (a+b+c-2 b)=b aligned aligned & a+c-b=b a+c=2 b & a b 2 1 & a+c: b=2: 1 aligned

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