There are many different types of triangles. The question is, can a triangle be both an acute triangle and a right triangle at the same time? How about a right triangle as well as an obtuse triangle at the same time? And what about an obtuse triangle also being acute at the same time? Additionally, can a triangle be both right and isosceles at the same time?
Standard: Common Core State Standard: MATH CONTENT 4.G.A.2
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

After experimentation

Through this activity, why were you able to understand the differences between right, acute, and obtuse triangles what was the reasoning? Additionally, what are some things you see and understand about the dimensions that need to be in place for a triangle to be both right and isosceles?