Question

Find the area of an equilateral triangle with radius 4 sqrt 3m. Leave your answer in simpliest radical form.

Answer 1

Do you know what this situation looks like? A picture always helps!

Answer 2

I do not have a picture & dont know even know what to draw like I know its a triangle but dont know the rest

Answer 3

i can try though

Answer 4

Go ahead. :)
A hint, the "radius" of a triangle has a similar definition to a circle radius, except there are only three radii for a triangle (at its vertices).

Answer 5

you mean like a circle inside the triangle ?

Answer 6

A bit more like a circle outside the triangle that goes through the three vertices:

Answer 7

i got it backwards lol okay so 4 sqrt 3 goes in the middle of the triangle right?

Answer 8

Well, the 4 sqrt(3) is the length of the radii.
It would be very useful to draw those in for what we need to do. Basically, we know that area is half base times height: But we only have the radii. We need to figure out some way to relate the radius to the sides of the triangle.