Question #N199
A triangle has angles that measure 60 degrees, 60 degrees, and 60 degrees. What is the area of the triangle if the length of one side is 4?
A. 2
B. 4
C. 4\sqrt{3}
D. 16
Correct Answer is: C
A triangle with all angles equal to 60 degrees is an equilateral triangle. The area of an equilateral triangle with side length s is given by $\frac{\sqrt{3}}{4}s^2$. Substituting s = 4 gives $\frac{\sqrt{3}}{4}(4)^2 = 4\sqrt{3}$. Therefore, the area of the triangle is $4\sqrt{3}$.