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:
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.