Two points `O(0,0)` and `A(3,sqrt(3))` with another point `P` form an equilateral triangle. Find the coordinates of `Pdot`

Explanation

To find the coordinates of point \( P \) that, along with points \( O(0,0) \) and \( A(3,\sqrt{3}) \), forms an equilateral triangle, we can follow these steps:

### Step 1: Calculate the length of side \( OA \)
Using the distance formula:
\[ D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
For points \( O(0,0) \) and \( A(3,\sqrt{3}) \):
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