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GeoGebraClasse GeoGebra

SSA Exploration Hyperbolic Geometry

SSA Triangle Condition in Hyperbolic Geometry

Select the lengths of the sides and the measure of the angle opposite the first side via the sliders and/or the input boxes. Slowly slide the Step slider, one step at a time, to see the construction unfold. Experiment with different values for the given measurements to investigate all cases. Are there some cases when no such triangle is possible? Are there cases where exactly one such triangle (1 congruence class) is possible? Are there cases where there are exactly two such triangles (2 congruence classes) possible? Are there cases where there are more than two congruence classes of triangles possible?