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 Problem 131. van Aubel Theorem, Concurrent Cevians, Sum of Ratios. Level: High School, SAT Prep, College

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. Post a comment or solution. (Cevian is a line segment which joins a vertex of a triangle with a point on the opposite side.)

Van Aubel Theorem
 

 

FACTS AND HINTS:

Geometry problem solving is one of the most challenging skills for students to learn. When a problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."
 


 

 

Elearning 131: Van Aubel, Concurrent Cevians

 

 

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