Spherical triangle inequality c < a+b

[prinsinn]

In a spherical triangle, c< a+b

I have to talk about this subject in an oral exam for about ten minutes. I don't know how I should explain it.
If you know about a good example too, related to this subject of cource, I would really appreciate it.

 

[Shooting Star]

See if these are helpful.

http://mathworld.wolfram.com/SphericalTriangle.html
http://www.math.uncc.edu/~droyster/math3181/notes/hyprgeom/node5.html