Ceva's Theorem



Problem

Prove Ceva's Theorem.

Ceva's theorem states:
If the points D,E and F are on the sides AB, BC and AC of a triangle then the lines AE, BF and CD are concurrent if and only if the product of the ratios
.


Applet

  • Drag the red point.
  • AD:DB = ABS:ACS, BE:EC = ..........
  • Check "Proof" and press "Next" button to understand Ceva's theorem.
Answer