## Elementary Geometry for College Students (6th Edition)

$147\sqrt3$
The radius is the short side of a 30-60-90 triangle containing half of the base of the triangle and the apothem. Thus, we obtain: $l = 7\sqrt{3}$ Since this is half of a side, we see that a whole side is $s = 14\sqrt{3}$ We use the equation for the area of a equilateral triangle: $A = \frac{\sqrt3}{4}s^2 = \frac{\sqrt3}{4}(14\sqrt3)^2 = 147\sqrt3$