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====== Right Triangles ======

===== Prompt =====

** "Draw a 3--4--5 triangle." **

// Some students will presumably ask, "Euclidean or hyperbolic?",\\\\
   at which point the prompt should be changed to://\\\\
**
"Draw a 3--4--5 triangle in Euclidean geometry."\\\\
"Then draw a 3--4--5 triangle in hyperbola geometry."
**

===== Context =====

//Estimated Time: 10 minutes, including wrap-up//

This [[strategy:smallwhiteboard:|SWBQ]] develops understanding of hyperbola
geometry by contrasting with known results in circle geometry, thus
emphasizing that Hyperbola geometry is similar to circle geometry --- but
different.

Students should be familiar with the basics of hyperbola geometry.

===== Wrap Up =====

Point out that the scaling in hyperbola geometry is different in different
directions, but nonetheless linear in any given direction --- and in fact
equal in orthogonal directions, such as along the axes.

Point out that "angles" only exist in hyperbola geometry between two spacelike
directions, or between two timelike directions.  "Right angles" are not
angles!  Right triangles only have one angle!

{{rfsw345.ppt|Powerpoint slide}}
\\\\
{{rfsw345.pdf|PDF slide}}

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