This morning we did a fun project involving a little triangle puzzle:
Here’s that project:
During the day I was just playing around with the triangles and found a couple of other fun ideas from geometry to show the kids.
First, an alternate proof that the two shapes have the same area. Almost a proof without words! It comes from the fact that the two shapes can come together to form a 6-8-10 triangle:
The next geometric idea involved a right triangle being inscribed in a circle:
It was a really nice surprise that there were other fun (and important!) geometric ideas that our shapes could be used for. We’ve used 3d printing before to play with 2d geometry – including triangles:
And also a fun project on using 3d printing to study an old AMC 10 problem:
It really is amazing how much 3d printing can help students explore geometry.