In this activity we are exploring the AAS (Angle-Angle-Side) Triangle Condition in Spherical Geometry. Adjust the measure of the two interior angles of a triangle and the length of the side opposite the first[br]angle by the sliders and/or input boxes. [br][br]Are there any conditions where there is no triangle possible for the chosen measurements? If so, what conditions do the measurements have to have in order for a triangle to exist?[br][br]If such a triangle exists, then how many different congruence classes (different sizes of triangles) may result? [br][br]Be sure that you look at all possible cases. Try some with a small side length and try some with a large side length. Specifically look at when the side has length pi/2.[br][br]If two triangles exist and they have two corresponding pairs of congruent angles and the corresponding pair of sides opposite the first angles are congruent,[br]do the two triangles have to be congruent?