Construct equilateral triangle ABC and square BCDE with point A outside the square. A circle is drawn containing A, D and E. How does the radius of the circle compare to the side length of the triangle?

Repeat the above but with point A inside the square.

(In reply to Geometric Solution by Brian Smith)

Thanks. Even while I did my solution, I knew there was a better way which had no need for such ugliness as a quadratic. So, Thanks!

Posted by Steven Lord on 2020-04-14 04:42:44