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NEST2014MathematicsProperties of Triangles

In triangle A B C , let B C=a, C A=b and A B=c . Let h_a be the length of the altitude drawn from A on to B C . Define h_b and h_c similarly. If h_a+h_b, h_b+h_c and h_c+h_a are in arithmetic progression then

Options

  1. Ac, a, b are in arithmetic progression.
  2. Ba, b, c are in arithmetic progression.
  3. Ca, b, c are in harmonic progression.
  4. Dc, a, b are in harmonic progression.

Correct answer

D. c, a, b are in harmonic progression.

Step-by-step solution

No solution available.

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