AP Calc 4.7 #25 Part 1: (setup only) Optimization - Rectangle Inscribed in Equilateral Triangle

Geometry setup of this problem - finding the maximum area rectangle to be inscribed in an equilateral triangle. There is also a video of me completing the problem - both were done in class with live students.

Stewart and Kokoska, Calculus for AP, a Complete Course 4.6 #37