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Geometry Problem 1120: Isosceles Right Triangle, 120 Degree, Angle, Equilateral, Metric Relations. Level: High School, SAT Prep, Honors Geometry, College, Math Education

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The figure below shows an isosceles right triangle ABC. D is a point so that angle ADC = 120 degree. E is on CD extended so that angle BEC = 120 degree. BE extended meets AD at F. If AD = d, CE = e, and BF = f, prove that (1) triangle DEF is equilateral; (2) Problem 1120, formula to prove.
 

Infographic Geometry Problem 1120: Isosceles Right Triangle, 120 Degree, Angle, Equilateral, Metric Relations
 

 

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Last updated: Jun 11, 2015 by Antonio Gutierrez.