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Geometry Problem 998. Scalene Triangle, Isosceles, Angle, 120 Degree, Midpoint, Equilateral, Congruence. Level: School, College.

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The figure below shows a triangle ABC, with triangle isosceles ABD (angle ABD = 120 degree), and triangle isosceles CBE (angle CBE = 120 degree). If F, G, and H are midpoints of AD, DE, and CE, respectively, prove that triangle FGH is equilateral.
 

Geometry Problem 998: Scalene Triangle, Isosceles, Angle, 120 Degree, Midpoint, Equilateral, Congruence

 

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