[list][br][*]Move the vertices of the triangle and see the change in the area of the different colored triangles.[br][*]Prove that any of the triangles with base equal to one side of triangle ABC and vertex G, has an area equal to [math]1/3[/math] of the area of triangle ABC.[br][br][*]Use the result above to find the six triangles with equal area.[br][/list]