hey,

Help is needed with the following geometry problem:

Consider a triangle ABC. Insert a point D on the side Ac and a point E on the side AB. Draw a line through DE. The intersection between the line through DE and the line through BC is called F.

Drawing an arbitrary triangle as mentioned above we can compute the following:

|AD|*|CF|*|BE|

|BF|*|AE|*|CD|

It is possible to draw the triangle in a program called geogebra. By doing this we can move the points D and E and observe the change.

The question is the following: formulate an expression which apparently holds true for the above-mentioned triangle.

Thanks a bunch.