In the given figure, \( A B C \) is an equilateral triangle. The coordinates of vertices \( B \)...

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In the given figure, \( A B C \) is an equilateral triangle.
The coordinates of vertices \( B \) and \( C \) are \( (3,0) \) and \( (-3,0) \), respectively. Find the coordinates of its vertex \( A \). Also, find its area.
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