In a pxq rectangle one diagonal is drawn and circles are inscribed in both triangles thus created.

1. Find the distance between the centers of those two circles.
2. What is this distance for (p,q)=(15,8)?

The distance is

   d = sqrt( [p - 2r]^2 + [q - 2r]^2 )

where

   r = pq/t

and

   t = p + q + sqrt( p^2 + q^2 )

For (p,q) = (15,8),

   t = 40

   r = 3

   d ~= 9.22

Edited on October 10, 2012, 8:26 pm

Posted by Bractals on 2012-10-10 15:08:08