ASA Exploration Spherical Geometry

ASA Triangle Condition in Spherical Geometry
In this activity we are exploring the ASA (Angle-Side-Angle) Triangle Condition in Spherical Geometry. Adjust the two lengths for the measures of the interior angles of a triangle and the length of the included side by the sliders and/or input boxes. [br][br]Are there any conditions where there is no triangle possible for the [br]chosen measurements? If so, what conditions do the measurements have to have in [br]order for a triangle to exist?[br][br]If such a triangle exists, then how many different congruence classes [br](different sizes of triangles) may result? [br][br]In Spherical Geometry, if two triangles exist and they have two corresponding pairs of [br]congruent angles and the corresponding pair of included sides are congruent (ASA Condition),[br]do the two triangles have to be congruent?

Information: ASA Exploration Spherical Geometry