Fiddler on the Proof: Sep 25, 2026

David Ding

Sep 25, 2026

Can You Frame the Triangle?

The side length of the smallest square frame is \[ \boxed{\frac{\sqrt{2+\sqrt{3}}}{2}} \] inches, or approximately \(0.9659\) inches.

Extra Credit: The expected side length of the smallest square frame after a random rotation is \[ \boxed{\frac{6\sqrt{2-\sqrt{3}}}{\pi}} \] inches, or approximately \(0.9886\) inches.

Explanation:

Page 1 of David Ding's handwritten solution to Can You Frame the Triangle? Page 2 of David Ding's handwritten solution to Can You Frame the Triangle? Page 3 of David Ding's handwritten solution to Can You Frame the Triangle?, including the extra credit.