Plot each point and form the triangle ABC. Verify that the triangle ABC is a right triangle. Find its area.

$A=(-1,12),B=(6,7),C=(1,0)$

To show that the triangle is a right triangle, show that the sum of the squares of the lengths of two of the sides $($the legs$)$ equals the third side $($the hypotenuse$).$

Sum of the squares of the lengths of the legs of the triangle $=$

Square of length of the hypotenuse of the triangle $=$

Find the area of the triangle.

Area $=$

square units