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