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In the figure below, equilateral ${\Delta}$ ABC lies in the x-y coordinate plane.

If A lies at the origin $(0,0)$ and B lies at $(b,0)$, what are the coordinates of C?

A

${(\cfrac { b }{ 2 } ,b)}$

B

${(b,b)}$

C

${(\cfrac { b }{ 2 } ,\cfrac { b }{ 2 } )}$

D

${(\cfrac { b\sqrt { 3 } }{ 2 } ,\cfrac { b }{ 2 } )}$

E

${(\cfrac { b }{ 2 } ,\cfrac { b\sqrt { 3 } }{ 2 } )}$

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