In this activity we are exploring the AAS (Angle-Angle-Side) Triangle Condition. Adjust the[br]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 [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]If two triangles exist and they have two corresponding pairs of [br]congruent angles and the corresponding pair of sides opposite the first angles are congruent,[br]do the two triangles have to be congruent?