Problem 451: Triangle, Median, Congruence, Proportional Segments

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

Triangle, median 

 

  

 

 

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Triangle, Circle, Tangent

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

 

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Proposed Problem 450.
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Circle, Diameter, Sagitta

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Tangent circles, diameter

Proposed Problem 448.
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