Area of Triangle in Coordinate Plane

In a coordinate plane, triangle DEF has vertices at D(1, 2), E(5, 6), and F(1, 6). What is the area of triangle DEF?

To calculate the area of a triangle with vertices at points $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$, you can use the formula:

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