SAS Triangle Congruence Exploration Euclidean Geometry
SAS Triangle Condition in Euclidean Geometry
In this activity we are exploring the SAS Triangle Condition. Adjust the
two lengths for the sides of a triangle and the measure of the included angle
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?
If two triangles exist and they have two corresponding pairs of
congruent sides and the corresponding pair of included angles are congruent,
do the two triangles have to be congruent?