Area of Triangle in Coordinate Geometry

In the coordinate plane, consider the triangle formed by the points A(2, 1), B(5, 4), and C(3, 6).

What is the area of triangle ABC?

To find the area of a triangle given its vertices at points $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$, we can use the formula:

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