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Geometry Problem 451: Triangle, Median, Congruence, Proportional Segments

The figure shows a triangle ABC with the median BD and the line FE so that BE = BF. If AB = c, BC = a, FG = x, and GE = y, prove that Formula to prove.
 

Triangle, median 

 

  

 

 

More Problems:

 

Triangle, Circle, Tangent

Proposed Problem 452.
Triangle, Circle, Tangent, Proportional Segments.

 

Triangle, Median, Cevian

Proposed Problem 450.
Triangle, Median, Cevian, Congruence, Proportional Segments.

 

Circle, Diameter, Sagitta

Proposed Problem 449.
Congruent Tangent Circles, Diameter, Sagitta, Arc, Perpendicular, Chord.

 

Tangent circles, diameter

Proposed Problem 448.
Tangent Circles, Diameter, Perpendicular, Chord.

 

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