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Ellipses (Posted on 2004-05-17) Difficulty: 5 of 5
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?

No Solution Yet Submitted by SilverKnight    
Rating: 3.8333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): General Solution | Comment 9 of 12 |
(In reply to re: General Solution by ThoughtProvoker)

After giving it some additional thought, I have an answer to my question.

Brian, I think had it as an underlying assumption, or at least didn't address it.  Basically, if we assume there is a smaller circumscribing ellipse in the original space, then because of the consistency of ratios of area (between transformations), that smaller ellipse would have a corresponding ellipse (circle) in the transformed space.  This leads to a contradiction, so the assumption is invalid.

I like it.  And Richard has a nice point about answering only the question asked, but I also appreciate the extra detail Brian gave.

Kudos to both of you.

  Posted by ThoughtProvoker on 2004-05-18 15:03:17

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