Area of Triangle Given Coordinates

A triangle has vertices at points A(1, 2), B(5, 6), and C(1, 6). What is the area of triangle ABC?

Recall that the area of a triangle can be calculated using the formula:

$$ ext{Area} = rac{1}{2} imes ext{base} imes ext{height} $$

or, alternatively, by using the coordinates of the vertices with the formula:

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