11. Find the vertex and calculate the required area

A point $A$ is equidistant from the points $B (13, 14)$ and $C (1, 4)$. If one of the vertices of the triangle is twice the point $A$, then find the area of the triangle made by the points $B$ and $C$ with this vertex.

 

Answer:

 

The area of the required triangle is  square units.