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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 is .
![Routh's theorem: TRiangle area ratio, cevians](routh's_4_area_triangle.gif)
Edward Routh (1831-1907), was an English mathematician.
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See Also:
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![Classical Theorems](classical_theorems_17.jpg) |
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![Routh's Theorem 1](routh's_theorem_1_17.jpg) |
Routh's Theorem 1.
Triangle, Cevians, Ratio of Areas. |
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![Routh's theorem: Triangle, Cevians, Area Ratio](routh's_theorem_2_17.jpg) |
Routh's Theorem 2.
Triangle, Cevians, Ratio of Areas. |
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![ROuth's Theorem 3: Triangle, Cevians, Ratio Area](routh's_theorem_3_17.jpg) |
Routh's Theorem 3.
Triangle, Cevians, Ratio of Areas. |
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