Area of a Triangle Given Vertices

Consider a triangle with vertices A(1, 2), B(5, 6), and C(1, 6). What is the area of this triangle?

To find the area of a triangle given its vertices, we can use the following formula:

$$ ext{Area} =\frac{1}{2} imes | x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) | $$