Area of a General Triangle

What two shapes specific result from this construction? How do we find the area of these shapes in general?

What is the area of each of the two individual shapes, using x, y, and h?

To get the area of the original triangle, we need to add the areas of the two smaller shapes. What do we get if you add these areas, and simplify? If x + y = base, what is the general formula for the area of a triangle?