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 [email protected]  or personal comments direct to with questions or comments about this web site.
Last modified: June 18, 2007