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Three circles (Posted on 2010-09-09) Difficulty: 4 of 5
Given three concentric (having the same center) circles. Their radii are 1,2 and 3.
Place three points A,B,C - each on a different circle to get a triangle ABC with a maximal area.

What is this area?

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

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re: Another approach (spoiler) Comment 3 of 3 |
(In reply to Another approach (spoiler) by Harry)

my solution has a slight mistake.  To compute the area of the triangle I used the coordinate matrix formula and in doing so forgot the 1/2 times the determinant and thus the reason why my area is twice yours. 
  Posted by Daniel on 2010-09-11 22:37:01

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