13. Find the third vertex of the triangle

The area of the triangle joining the vertices \((1, 4)\) and \((11, 13)\) is 20 square units. If a line \(x - 2 = 0\) passes through the third vertex of the triangle, find the third vertex.

 

Answer:

 

The third vertex of the triangle \(=\) $\left(i,i\right)$.

 

[Note: If the answer is an integer, enter as it is. If not, enter the value rounded to one decimal place.]