Ceva’s Theorem — Statement:
Let be a triangle. Let
,
, and
be points on the segments
,
and
respectively. Then the segments
,
and
are concurrent if and only if the product of quotients of the lengths
is equal to
.
Link to dynamic worksheet: https://www.geogebra.org/m/s7m8xVDu
Note: There are a few different versions of Ceva’s theorem. For simplicity for this exercise, I chose one of the easier ones, but you can read about the others in Venema Chapter 8!
Note: This dynamic worksheet is one I created myself; it’s different from our previous sample (which was also about Ceva’s theorem).