Triangle

The dashed line can be moved left and right. F indicates the area of the blue shaded figure.
(a) Move the yellow point to the right and observe the shaded figure. Describe in detail how the area of this figure changes! (b) Click on the check box "area" in the left graphics window. Move the yellow point again and observe how the value changes. Compare your observations to those of task (a)! (c) How would the corresponding graph in the coordinate system look like? Reason your decision! (d) Activate the check box "graphical representation" in the right graphics window. What is displayed in the coordinate system? Compare this representation with your solution of task (c)! (e) Solve by observing the graphical representation in the coordinate system: • What happens when the dashed line reaches point C? • What happens the yellow dot is right of point B?