I'd caution against memorizing any list of formulas.
That said, there are a few mental things to know -- for example, with triangles -- know the proportions 3-4-5 and 5-12-13. You don't need to memorize a^2 + b^2 = c^2 (pythagoreom formula) - but memorizing those 2 triangle proportions will get you way further than any formula.
Also know the 45-45-90 degrees for a right triangle. As well as the 30-60-90 degrees for a triangle of proportion (x, 2x, and x root 3).
That's pretty much as much "memorization" as you'll need - along with some other mental notes we teach.
As an example, try taking what you know from the above - and apply it to this question:
https://www.gmatpill.com/gmat-practice-t ... stion/1073