Triangle Area Calculation

Consider a triangle with vertices at the points A(2, 3), B(8, 7), and C(2, 10). Calculate the area of triangle ABC.

To determine the area of a triangle given its vertices, you can use the formula:

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

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