Consider a triangle with vertices at points A(1, 3), B(5, 7), and C(4, 1). Calculate the area of triangle ABC using the formula:
$$ ext{Area} =\frac{1}{2} imes | x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) | $$