Maximum Area
of a Certain Quadrilateral

##

Given a quadrilateral ABCD with a fixed angle at A and fixed
lengths for BC and CD. Determine (Construct) ABCD such that it
has the **maximum** area.

That is, points B and D would be located on the respective
rays of angle A so that BC and CD are the sides opposite angle
A and the area is a maximum. For example, the following figure
shows a quadrilateral satisfying the conditions but probably **NOT**
with the maxmimum area.

Click **here** for a GSP sketch to
explore this problem.

**Hint**

Return
to **EMAT 4600/6600 Page**.