Find the area of an equilateral triangle given the distances from an interior point to the vertices 
Given the distances from an interior point to the vertices of an equilateral triangle, find the area of that triangle.

I have already tried equating $\sqrt{3}\times a^2/4$ and sum of the area of three triangles interior to equilateral triangle  formed by given lines. But that approach is making a hard equation to solve. 
Any solution using Computer programming language may also help.

According to the link given by @Greg (above), the area of the equilateral triangle ABC with an interior point P, will be 
((sqrt(3)(PA^2+PB^2+PC^2)/4) + 3(area formed by triangle with 3 lines as PA, PB and PC))/2]] 
