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Problem 433: Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity

The figure shows a quadrilateral ABCD with Formula conclusion to prove. If S, S1, and S2 are the areas of triangles CED, BCF, and ADF, prove that S = S1 + S2.

 

Quadrilateral, Area, Proportion, Parallel, SImilarity

 
 

  
 

 

 

Related Topics:

 

Classical Theorems

 

Quadrilateral, transversal, ratio, similarity

Proposed Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity.
 

Problem 432: Trapezoid, Parallel, Similarity

Proposed Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal.
 

Quadrilateral, Midpoint diagonals

Proposed Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal.
 

Inscribed and Circumscribed regular Pentagon, Areas

Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.