Routh's Theorem
From AoPSWiki
In triangle 
, 
, 
and 
are points on sides 
, 
, and 
, respectively. Let 
, 
, and 
. Let 
be the intersection of 
and , 
be the intersection of 
and 
, and 
be the intersection of and . Then, Routh's Theorem states that
![[GHI]=\dfrac{(rst-1)^2}{(rs+r+1)(st+s+1)(tr+t+1)}[ABC]](http://alt2.artofproblemsolving.com/Forum/latexrender/pictures/d/6/c/d6c013a3a6c8ef7a27ff7f27f8983b44d982832c.gif)
Proof
This proof is incomplete. You can help us out by completing it.
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