Finding the Area of a Triangle in the Coordinate Plane

In a coordinate plane, a triangle is formed by the points A(2, 3), B(2, 7), and C(5, 3). Calculate the area of the triangle.

Use the formula for the area of a triangle with vertices at coordinates $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$, which is given by:

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