Area of Triangle in Coordinate Plane

Consider triangle ABC where points A, B, and C are located in the coordinate plane with the following coordinates:

Point A(2, 3), Point B(8, 7), and Point C(5, 8).

Determine the area of triangle ABC using the formula:

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

where $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$ are the coordinates of points A, B, and C respectively.