**How it works ?**

**In the applet below, A and B are 5 units apart.**

(This distance will change if you move point *B*, so keep it where it is for now.)

**Slide the green unlabeled slider. **

What does this imply about the two lines?

Nonetheless, the goal of this problem is to** determine how far (to the left) D needs to be placed from C in order to minimize total area enclosed by both triangles.** Even though you can use this applet to obtain an approximate value of this distance, use calculus to determine an

*exact value*of this approximate distance.

Retry this problem for *AB* = some other distance. (You can move point *B* to make this happen.)

**What if AB = x units? Can you find an expression (in terms of x) for the distance DC that minimizes the sum of the areas of both triangles? **