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Geometry Problem 131: van Aubel Theorem, Concurrent Cevians, Sum of Ratios. High School, College, Mathematics Education

In the figure below, If AD, BE, CF are three cevians of a triangle ABC, concurrent in a point P, prove that Van Aubel Formula.
Cevian is a line segment which joins a vertex of a triangle with a point on the opposite side.
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Van Aubel Theorem
 

 

 

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