Medians & Centroid 2: Areas of Triangles

Drag points A, B, and C to change the shape of the triangle.
As you change the shape of triangle ABC, what do you notice about the areas of the six smaller triangles? The areas of the six smaller triangles are measured and shown beside the figure. What is the area of triangle CGB? What about triangle ACF? How does the area of triangle ACF compare with the area of triangle BCF?