My Geometry students struggle with the isosceles right triangle (45-45-90) and 30-60-90 special right triangle shortcuts. The purpose of this activity is to give the students enough practice so that they see the connection directly. I've found that if they derive the formulas and shortcuts, they are much more apt to recall them later.
The preview file is a pdf so you may see what's included; the product file is a word document, which you may edit for your students.
Note: I have posted a more recent version of this worksheet named 'Special Right Triangles Investigation Spring 2014' (http://www.teacherspayteachers.com/Product/Special-Right-Triangles-Investigation-Spring-2014-30-60-90-45-45-90-triangle-1266781
Keywords: geometry, special right triangles, isosceles right triangle, 45-45-right, 45-45-90, 30-60-90, 30-60-right, shortcuts, Jonnard