The altitude of an equilateral triangle is 6 units. What is the area of the triangle, in square units? Express your answer in simplest radical form.
(1/2) of the base length = 6/sqrt 3 = 6sqrt 3 / 3 = 2 sqrt 3
So....the area = (1/2) base * height = 2sqrt 3 * 6 = 12 sqrt 3 units^2