Modifying the triangle solver

[Abhlnav]

So, I got a prime about a month ago and for my use case, I really need to program a lot of things. For the first thing I'm working on, I would like to add functionality to the Triangle Solver application that's built in.

Here are some things I would like to add:
Inradius, Circumradius, Type/Shape (Obtuse, Acute, Right & Scalene, Isosceles, or Equilateral), a clear button to clear all input boxes, and finally a checkbox for something called "GM" where I would also display the lengths of all three angle bisectors, altitudes, and medians if selected.

Any idea on how I would go about implementing all of this? I made a custom one of these on the TI-89 Titanium but I'm switching over and really need this.