perplexus.info :: Geometry : Arithmetic Progression Triangle

Arithmetic Progression Triangle (Posted on 2007-01-28)

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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Puzzle Thoughts

Comment 6 of 6 |

The three sides of the triangle are:

√(4r(2R-r))-√(2r(R-2r))

√(4r(2R-r))

√(4r(2R-r))+√(2r(R-2r))

Edited on March 17, 2023, 1:15 pm

Posted by K Sengupta on 2023-03-17 13:13:54

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