Consider the points A(2, 3), B(8, 3), and C(5, 7) in a coordinate plane. What is the area of triangle ABC?
To find the area of the triangle formed by three points in the coordinate plane, 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 points A, B, and C.