To find the area of an equilateral triangle with a point P inside it, where PA = 3, PB = 4, and PC = 5, the Law of Cosines and Law of Sines can be applied to derive the side lengths. The discussion emphasizes the importance of evaluating one side of the triangle first, as knowing one side allows for the calculation of all sides due to the triangle's equilateral nature. Heron's Formula is suggested as a method to find the area once the side lengths are determined. Participants are encouraged to show their work and explore geometric constructions to simplify the problem. The conversation highlights the classic nature of this geometric problem and the various approaches to solving it.