Area of Triangle in Coordinate Geometry

Consider the triangle with vertices at the points A(2, 3), B(6, 11), and C(10, 3). Determine the area of this triangle.

To find the area of a triangle given its vertices in the coordinate plane, you can use the formula:

$$ ext{Area} = rac{1}{2} igg| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) igg| $$

Utilize this formula with the coordinates of points A, B, and C to compute the area of the triangle.