Talking about medians

My younger son has been studying Art of Problem Solving’s Introduction to Geometry book this year. He’s been doing most of the work on his own, but I check in every now and then.

Today he was working in the section about medians, so I thought I’d ask him what he’s learned.

Here were his initial thoughts.

In the last video he was struggling to remember how to prove that the 6 small triangles formed when you draw in the medians of a triangle all have equal area. Here I gave him a hint and he was able to finish off the proof:

We wrapped up with a short discussion about the lengths of the medians.

Overall a fun discussion. I’m a big fan of the Art of Problem Solving books and am happy that my son is enjoying working through their geometry book.