In the \(xy\)-plane, an equilateral triangle has vertices at \((0, 0)\) and \((9, 0).\) What could be the coordinates of

In the \(xy\)-plane, an equilateral triangle has vertices at \((0, 0)\) and \((9, 0).\) What could be the coordinates of the third vertex?

(A) \((0, 4.5)\)

(B) \((4.5, 4.5)\)

(C) \(\left(\dfrac{9\sqrt3}2, \dfrac{9\sqrt3}2\right)\)

(D) \((4.5, 9\sqrt3)\)

(E) \(\left(4.5, \dfrac{9\sqrt3}2\right)\)

Answer: E

Source: Manhattan GMAT