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.

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