Area of Triangle on Coordinate Plane

In the coordinate plane, consider the triangle formed by the points A(2, 3), B(5, 7), and C(7, 2). What is the area of triangle ABC?

To find the area of a triangle when given the coordinates of its vertices, you can use the formula:

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

where $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$ are the coordinates of the vertices of the triangle.