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Solid triangles (3) (Posted on 2010-08-18) Difficulty: 3 of 5
Three points are located on the surface of the ellipsoid: 2x2 + 2y2 + z2 = 3. One has a x coordinate of 0, another has a y coordinate of 0, and the last has a z coordinate of 0.

What is the largest possible equilateral triangle (in terms of area) that can be made using these three points as the corners? How many distinct equilateral triangles of this size are possible?

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some Thoughtsre: Parametric ThoughtsBrian Smith2016-02-21 13:38:41
Some ThoughtsParametric ThoughtsBrian Smith2016-02-19 11:09:50
re: a candidateCharlie2010-08-18 16:57:48
Some Thoughtsa candidateCharlie2010-08-18 16:55:12
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