Menelaus's Theorem

on . Posted in Geometry

Menelauss theoremThe way two cevians of a triangle divide each other and two of the triangle's sides.

\(\large{  \frac{A\;D}{D\;B} \; \frac{B\;P}{P\;F} \; \frac{F\;C}{C\;A} = 1 }\)

 

If three points are collinear (D, P, C), then  \(\large{  \frac{A\;D}{D\;B} \; \frac{B\;P}{P\;F} \; \frac{F\;C}{C\;A} = 1 }\)