Triangle in a Square

 The Problem:

Can you draw an equilateral triangle to fit snugly inside a square, so that each of its three vertices touches one of the sides of the square?

 

Is there only one such triangle?

 

If not, what is the smallest and largest equilateral triangle you can draw to fit snugly within a square ?

Open the File as a Word Document

 

Send site mail to admin@1000problems.org  or personal comments direct to sdakeyne@psc.ac.uk with questions or comments about this web site.
Last modified: June 18, 2007