46. Exemplar Exercise Problem XXIII

If \( (-4, 3)\), and \( (4,3)\) are the two vertices of an equilateral triangle, find the coordinate of the third vertex, given that the origin lies in the interior of the triangle.

 

 

The third vertex of a triangle is $\left(\begin{array}{lll}i& ,& i-i\sqrt{i}\end{array}\right)$.