Area of Triangles

[list] [*]Drag the point to the end of the slider, to cut triangle ABC in two right triangles, and to move these triangles. [*]Return the slider back to the original position and drag points A, B and C to change the original triangle, then move the point on the slider again. [*]What is the relationship between the area of the original triangle and the area of the rectangle after rearranging the parts? [/list]