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.
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?
If such a triangle exists, then how many different congruence classes
(different sizes of triangles) may result?
In Spherical Geometry, if two triangles exist and they have two corresponding pairs of
congruent angles and the corresponding pair of included sides are congruent (ASA Condition),
do the two triangles have to be congruent?