Right Triangles in the Poincare Disk
Recall some helpful information about Euclidean Right Triangles that may relate to Hyperbolic Right Triangles
- The right angle is 90 degrees
- The Pythagorean Theorem:
Using the Side Lengths From The Triangle AEB Above
, ,
Compute
Using the Side Lengths From The Triangle CED Above
, ,
Compute
Use This Area to Discuss What You Are Noticing About the Triangles Above
Here are some prompts to help with your response: - Does ? - If you move the points around, are you able to find an a, b and c value that make the statement true? - If not, what do you notice about the relationship between versus ?