Menelaus’s theorem relates the way two cevians of a triangle divide each other and the sides of a triangle. Menelaus’s theorem is named for Menelaus of Alexandria. Stated mathematically, Menelaus's theorem claims that, given triangle ABC, and a transversal line that crosses the extended sides of BC, AC, and AB at points D, E, and F respectively, with D, E, and F distinct from A, B, and C, then Or, stated another way: 
 
It is important to know that this theorem uses signed lengths of segments. Any segment that goes from left to right is positive. Any segment that goes from right to left is negative. Maniplulative 2 demonstrates positive and negative line segments. 

#  A  B  C  D 
E  F  G  H  I 
J  K  L  M  N 
O  P  Q  R  S 
T  U  V  W  X 
Y  Z 
All Math Words Encyclopedia is a service of
Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons AttributionShareAlike 4.0 International License