Find the area of a regular triangle polygon using special right triangles

Question

I need to find the area (and side) of a regular polygon triangle. I've been given the apothem, so I know that A=24, and N=3 using the 1/2 SAN method (which is what we learned).

I've gotten to the point that I was able to identify a 30-60-90 triangle, but I can't seem to find the side or area. The side is going to be x√3 based on the diagram of a 30-60-90.

TLDR: I need to find the area of a polygon triangle. I know that the Apothem is 24, and that we have 3 sides. We're supposed to use the 1/2 SAN and special right triangle methods.

Answer 1

If it is 30-60-90 triangle, we can get all the sides and area if only one side is known.

So, just need to clarify the relation between the known apothem and any side to get one side from known apothem.

Please draw a picture for it, We can get the answer easily.