In a circle with a radius of 5 units, a triangle is inscribed such that one side of the triangle lies along a diameter of the circle. If the height of the triangle from the apex perpendicular to the diameter is 4 units, calculate the area of the triangle.
Recall that the area of a triangle can be determined using the formula:
$$ ext{Area} =\frac{1}{2} imes ext{base} imes ext{height} $$