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Tricky one - a little reading to do

  1. Oct 1, 2007 #1
    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
  2. jcsd
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