AAA Exploration Spherical Geometry
- Author:
- Dr. Jack L. Jackson II
- Topic:
- Congruence, Geometry, Triangles, Trigonometry
Investigating the AAA Triangle Condition in Spherical Geometry
Choose the measures of the three angles via the sliders and/or input boxes.
Are there conditions that we know that there is no such triangle possible? Remember that in Spherical Geometry the sum of the measures of the interior angles is not constant, but it has an upper and lower bound.
Set the angle measures so that a triangle is possible. Slowly slide the Step slider to see the construction unfold.
This one is difficult. We have to move both points B and C to get the two indicated conditions to hold.
Can you figure it out?
In Spherical Geometry, if we have two triangles with all three pairs of corresponding angles congruent, do the two triangles have to be congruent? (Hint, the answer here is different than in Euclidean Geometry.)