Comparison of Areas in Right Triangles

In a quadrilateral ABCD, the lengths of sides AB, BC, and CD are 5, 12, and 9 units respectively. If angle B is a right angle, calculate the area of triangle ABC and compare it to the area of triangle BCD, where side BD is the hypotenuse of triangle BCD. Assume that the height from point D to side BC is known to be 8 units.

To find the area of triangle ABC, use the formula:

$$ ext{Area} =\frac{1}{2} imes ext{base} imes ext{height} $$

And, for triangle BCD:

$$ ext{Area} =\frac{1}{2} imes ext{base} imes ext{height} $$