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AP EAMCET201822 Apr 2018Evening ShiftMathematicsProperties of TrianglesActual

If the reciprocals of the lengths of the sides of a A B C are in harmonic progression, then its ex-radii r₁, r₂, r₃ are in

Options

  1. AArithmetic progression
  2. BGeometric progression
  3. CHarmonic progression
  4. DArithmetico-geometric progression

Correct answer

C. Harmonic progression

Step-by-step solution

Let the sides of a A B C are a, b and c 1 a , 1 b , 1 c are in H.P. a, b, c are in A.P. s-a, s-b, s-c are in A.P. s-a , s-b , s-c are in A.P. r₁, r₂, r₃ are in H.P.

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