### Instruction: An equilateral triangle has a side of length 12 inches. What is the area of the triangle, in square inches? Express your answer in simplest radical form.### Response: I know that the area of an equilateral triangle is given by the formula A = (s^2 * sqrt(3))/4, where s is the side length.
So, I just need to plug in s = 12 and simplify.
A = (12^2 * sqrt(3))/4 = (144 * sqrt(3))/4 = 36 * sqrt(3) square inches.