Routh's Theorem 4: Triangle, Cevians, Ratio, Areas

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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'B'C' and ABC isRouths's theorem 4: TRiangle area ratio prove. Post a comment or solution.
 

Routh's theorem: TRiangle area ratio, cevians
 

Edward Routh (1831-1907), was an English mathematician, noted as the outstanding coach of students preparing for the Mathematical Tripos examination of the University of Cambridge. 

See Also:

 

Classical Theorems

 

Related Geometry topics

Related Geometry Topics:
Computational, Manifold, Topology, String theory, Coordinate, Analytical, Trigonometry, Projective, Algebraic, Differential, Symplectic, Lie theory, Fractal, Dimension theory, Computer graphics, Atiyah, Gromov, Perelman.

 

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 3: Triangle, Cevians, Ratio Area

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

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