It fits the definition of a triangle
as long as you're willing to set aside that inconvenient triangle inequality theorem ;), and an equilateral triangle to boot - it has three equal sides of length zero. At least, it satisfies the definition for the purposes of forming a triangle circle. You can calculate the values of the angles yourself, if you like. I think you already did, actually ;)
Equilateral triangles are usually regarded as having three equal angles of 60 degrees. But that is a consequence of having three equal sides of length > 0, not a part of the definition of an equilateral triangle. Obviously, that does not hold true when the lengths are equal to zero.
You can calculate the values of the angles yourself, if you like. I think you already did, actually ;)Yes, that applet did. The result was NaN which means not a number(undefined). The fact that one can play games and define a new geometry is not a secret. But people tend to have agreed upon foundations from which to proceed in debates. So in closing my participation in this greased pig contest I will give a few links to definitions.
Unit Vectors
Unit Vectors:
- Vectors that indicate Direction Only.
- The Length of a Unit Vector is always equal to One.
Triangle -- from Mathworld
Allowable side lengths a, b, and c for a triangle are given by the set of inequalities a > 0, b > 0, c > 0, and 
, 
, 
.
Degenerate --- from Mathworld
A limiting case in which a class of object changes its nature so as to belong to another, usually simpler, class. For example, the point is a degenerate case of the circle as the radius approaches 0