Proving Existence of a Triangle with Defect > 14 Degrees in Hyperbolic Geometry

[dancergirlie]

Homework Statement

How to show that there exists a triangle whose defect is greater than 14 degrees

Homework Equations

The Attempt at a Solution

No idea what to do here... something about the angle of parallelism

 

[Mark44]

You need to give us more information here. What do you mean by "defect?"

My best guess is that you're asking for an example of a triangle in hyperbolic geometry whose angles add up to less than 166 degrees.

 

[Hurkyl]

I think the easiest way to show such a triangle exists is to explicitly write it down and compute its angle measures.