Routh's Theorem 2: Triangle, Cevians, Ratio, Areas

Online Geometry


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 DEF and ABC isRouth's theorem, triangle area, cevians, ratio.

Routh's theorem 2, Triangle, Cevian, Ratio of areas,


Edward Routh (1831-1907), was an English mathematician. Read more

See Also:


Classical Theorems



Routh's Theorem 1

Routh's Theorem 1.
Triangle, Cevians, Ratio of Areas.


ROuth's Theorem 3: Triangle, Cevians, Ratio Area

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


Routh's theorem 4: Triangle, Cevians, Area

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

Home | SearchGeometry | Routh's Theorem | Post a comment or solution | Email | by Antonio Gutierrez