Routh's Theorem 3: 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 A'BC' and ABC isRouth's theorem 3: triangles areaa ratio.
 

Routh's theorem 3, Triangle area, ratio
 

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: Triangle, Cevians, Area Ratio

Routh's Theorem 2.
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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