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AP EAMCET202422 May 2024Morning ShiftMathematicsProperties of TrianglesActual

In A B C , if A, B, C are in arithmetic progression, = 3 2 and r₁ r₂=r₃ r , then R=

Options

  1. A3
  2. B2
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

aligned & A, B, C are in AP, r₁ r₂=r₃ r & (s-a) (s-b) = (s-c) s & (s-a)(s-b) s(s-c) =1 ^2 C 2 =1 & C=90^ , A+B+C=180^ & 3 B=180^ B=60^ A=30^ & C=2 R, B C=2 R 30^ & a=R, b=A C=2 R 60^ = 3 R & = a b 2 = 3 R^2 2 = 3 2 R^2=1 R=1 aligned

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