Online Geometry Problems

Online Geometry Problem 761: Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle. Level: High School, College, Mathematics Education

The figure shows a scalene triangle ABC with angle A = 60 degrees. If the Euler line intersects AB and AC at D and E, respectively, prove that the triangle ADE is equilateral. This entry contributed by Ajit Athle.
 

Triangle with an angle of 60 degrees and Euler Line
 

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