What is the area of the smallest ellipse that can be circumscribed around a 3-4-5 triangle?
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What is the area of the largest ellipse that can be inscribed in a 3-4-5 triangle?

After a little research, I found out that the ellipses SK is asking for are the Steiner ellipses.  See:
http://mathworld.wolfram.com/SteinerCircumellipse.html
http://mathworld.wolfram.com/SteinerInellipse.html

Posted by Brian Smith on 2004-05-18 22:02:25