Area of Triangle in Terms of Base

In a triangle ABC, let the lengths of sides AB, BC, and CA be represented by the variables $a$, $b$, and $c$, respectively. The area of triangle ABC is given by the formula:

$$ Area = \f\frac{1}{2} \times base \times height $$

If the height from vertex A to side BC is 6 cm and the length of side BC is $b$, what would be the area of triangle ABC in terms of $b$?