Area of Triangle CBD

Consider a triangle ABC with vertices A(0, 0), B(6, 0), and C(3, 6). A line is drawn from point C to the midpoint D of segment AB. Calculate the area of triangle CBD.

To find the area of triangle CBD, you will first need to determine the coordinates of point D, the midpoint of segment AB. Then, use the formula for the area of a triangle with vertices at coordinates (x₁, y₁), (x₂, y₂), and (x₃, y₃):

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