sqrt (3) / 3 = (1/2) s^2 * sqrt (3) / 2 where s is the side of the triangle
1/3 = (1/4)s^2
4/3 = s^2
We have triangle APB
angle PAB = angle PBA = 30
angle APB = 120
Law of Cosines
s^2 = 2x^2 - 2x^2 * cos (120)
s^2 = 2x^2 - 2x^2 *(-1/2)
s^2 = 3x^2
4/3 = 3x^2
4/9 = x^2
2/3 = x