In this investigation we will be looking at triangle ABC
Now lets select a point P somewhere in the triangle
Draw lines AP, BP, and CP
Then extend those lines to the opposite side and label those points D, E, and F.
We are now going to explore the figure below:
My first instinct
Ok now the equation (BF)(CD)(AE) / (FC)(DA)(EB) should make since and it is 1.
For a formal proof using Ceva's Theorem Click Here
Click here for Part 3