Answer:
16√3 units²
Explanation:
I believe you meant, "with side length of 8."
Such a triangle has three equal angles, all 60 degrees. Using this fact we can find the height of the triangle when the bottom side is horizontal:
sin Ф = (opposite side) / (hypotenuse), which here is
sin Ф = (height of triangle) / (8 units), from which we learn that
(height of triangle) = (8 units)(sin 60 degrees) = 8(√3)/2 = 4√3
Now we have all the information necessary to find the area of this triangle A = (1/2)(base)(height) = (1/2)(8 units)(4√3 units) = 16√3 units²