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AP EAMCET202318 May 2023Morning ShiftMathematicsProperties of TrianglesActual

In ABC , if s - a : s - b : s - c =2: 3: 4 , then A : C =

Options

  1. A6: 7
  2. B19: 30
  3. C6: 19
  4. D1: 5

Correct answer

D. 1: 5

Step-by-step solution

Let s-a=2 k, s-b=3 k, s-c=4 k , adding all we get aligned & 3 s-(a+b+c)=9 k s=9 k & a=7 k, b=6 k, c=5 k & Now, A C = A A C C = A C C A & = b^2+c^2-a^2 2 b c a^2+b^2-c^2 2 a b c a = b^2+c^2-a^2 a^2+b^2-c^2 = 49+36-25 36+25-49 =1: 5 aligned

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