All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Ellipses (Posted on 2004-05-17)
What is the area of the smallest ellipse that can be circumscribed around a 3-4-5 triangle?
_____________________________

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.)
 Part 1 | Comment 2 of 12 |
Since the triangle is 3-4-5. this makes it a right angle triangle.

The hypotenuse of this triangle must be the major axis of the ellipse with the right angle portion of the triangle sitting on the edge of the ellipse.
If the above is true then the ellipse is actually a circle. with the diameter equal to the hypotenuse of the triangle.

Therefore the smallest "ellipse" that can be circumscribed is

2.5 x 2.5 x 3.14159 = 19.635.

 Posted by Juggler on 2004-05-17 23:29:38

 Search: Search body:
Forums (0)