Area of Triangles · Superchallenge problem

A square with sides of $6$ cm and a square with sides of $4$ cm sit side by side on a line, touching, with the bigger square on the left. A triangle joins three points: the bottom-left corner of the big square, the top-right corner of the big square, and the top-right corner of the small square. What is the area of this triangle, in square centimeters?