

Routh's Theorem 1: Triangle, Cevians, Ratio, Areas

The figure shows a triangle ABC of area S with the cevians
AA', BB', and CC' so that AB'/B'C = m, BC'/AC' = n, and CA'/A'B = k. Prove
that the ratio of areas between triangles AFC and ABC is .
Edward Routh (18311907), was an English mathematician.
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See Also:






Routh's Theorem 2.
Triangle, Cevians, Ratio of Areas. 


Routh's Theorem 3.
Triangle, Cevians, Ratio of Areas. 


Routh's Theorem 4.
Triangle, Cevians, Ratio of Areas. 






