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Arithmetic Progression Triangle (Posted on 2007-01-28) Difficulty: 3 of 5
Given lengths R and r with R > 2r. Construct a triangle with side lengths in arithmetic progression and R and r its circumradius and inradius respectively.

See The Solution Submitted by Bractals    
Rating: 2.5000 (2 votes)

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re(2): solution | Comment 5 of 6 |
(In reply to re: solution by Bractals)

My mistake: thanks for correcting. It should be as you noted:

a=√(4r(2R-r))
x=√(2r(R-2r))

The right answer for triangle sides are:

√(4r(2R-r))-√(2r(R-2r))
√(4r(2R-r))
√(4r(2R-r))+√(2r(R-2r))
  Posted by Art M on 2007-01-31 20:09:58

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