What is the size of the largest square which can fit inside a regular pentagon with a side-length of 1?
(In reply to More likely to be correct solution.
That's not right. The square in a corner cannot stretch all the way to the opposite side. The other corners are a bit too wide.
I don't know why I tried doing this without the aid of GSP.
I used Geometer's Sketchpad to shrink the square a bit and it now looks like the best solution is 1.0674
Edit: The exact solution is sin(108)/sin(63)
Edited on December 3, 2013, 12:54 am
Posted by Jer
on 2013-12-03 00:44:35