You might like some of the other posts on the blog! I’ve written several other posts showing how Geometric Algebra can be used in plane geometry problems that would typically be treated with lengths and angles.
Most recent post, which links to other parts of the series: https://www.shapeoperator.com/2019/02/10/proving-theorems-ab...
An older post applying GA to the geometry of sunsets: https://www.shapeoperator.com/2016/12/12/sunset-geometry/