# SSS Investigation Hyperbolic Geometry

- Author:
- Dr. Jack L. Jackson II

- Topic:
- Congruence, Geometry, Triangles, Trigonometry

## SSS Triangle Condition Exploration in Hyperbolic Geometry

Use the sliders and/or input boxes to select three side lengths.
Slowly slide the Step slider, one step at a time, to see the construction unfold.
Are there any conditions on the three lengths that must happen in order for such a triangle to exist?
Given any set of side lengths such that a triangle exists, how many different congruence classes of such triangles exist?
In Hyperbolic Geometry, if two triangles have all three pairs of corresponding sides congruent, do the two triangles have to be congruent?