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Geometry Problem 1126: Equilateral Triangle, Circumcircle, Metric Relation, Harmonic Mean, Similarity. Level: High School, SAT Prep, Honors Geometry, College, Math Education

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The figure below shows an equilateral triangle ABC and a point D on the circumcircle O so that CD extended meets BA at E. If DE = d, DB = e, and DA = x, prove that x = one-half the harmonic mean of d and e, that isFormula to prove problem 1126.
 

Infographic Geometry problem 1126 Equilateral Triangle, Circumcircle, Metric Relation, Harmonic Mean
 

 

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Last updated: Jul 2, 2015 by Antonio Gutierrez.