# Tricky one - a little reading to do

1. Oct 1, 2007

### danni7070

1. The problem statement, all variables and given/known data
Given are two parallel lines l and m together with a line n which intersects the line l at
a point A and the line m at a point B. In addition, a point C is given on the line l such that
C is not equal to A. For a point D om the line m such that the points C og D are on different sides of the
line n the line through the points C,D intersects the line n at a point E between A and B.
Determine the point D such that the sum of the areas of the triangles ACE and BDE is as
small as possible.

2. Relevant equations

Are there any??

3. The attempt at a solution

My attempt at this one is.... hmmm....

If you take pont D and move it as close as you can get to point B, then point C would go equally as near to point A. So the areas ACE and BDE are equally small.

I was just wondering if this problem is that simple or am I missing something here?

Last edited: Oct 1, 2007