# Given #ABC# a triangle where #bar(AD)# is the median and let the segment line #bar(BE)# which meets #bar(AD)# at #F# and #bar(AC)# at #E#. If we assume that #bar(AE)=bar(EF)#, show that #bar(AC)=bar(BF)#?.

##### 1 Answer

Dec 28, 2016

See below.

#### Explanation:

We will apply the theorem of Menelaus of Alexandria to the sub-triangle

According to Menelaus,

but