perplexus.info :: Shapes : Inscribed and Circumscribed Ellipse Puzzle

Inscribed and Circumscribed Ellipse Puzzle (Posted on 2022-08-05)

(I) Determine the maximum area of an ellipse that is inscribed within an integer triangle having sides 13, 14, and 15.

(II) Determine the minimum area of an ellipse that is circumscribed around an integer triangle having sides 13, 14, and 15.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(I) The required maximum area of the ellipse is approximately 203.15.
(II) The required minimum area of the ellipse is approximately 50.79.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Brian Smith	2022-08-08 11:50:53
Part (I), not a solution	xdog	2022-08-08 10:00:39

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