[AndrewC]

P.S. If you want an illustration go here and set all the sides to zero and click on Angle C. Now put 1,9,1 as the sides and click on Angle C. Same answer. 1,9,1 is not a triangle and neither is 0,0,0.

[general_re]

Same answer. 1,9,1 is not a triangle and neither is 0,0,0.

As much as I hate to use the word on this thread yet again, it is a degenerate triangle. And since, as longshadow has pointed out, the original question never excluded degenerate figures, I have appropriated longshadow's arguments for the unstated remainder. Maybe I can't give you square circles, but I can approximate triangular ones. ;)