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Geometry Problem 1000. Scalene Triangle, Isosceles, Angle, 120 Degree, Midpoint, Distance, Equilateral, Congruence, Perpendicular, Metric Relations. 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). F, G, and H are midpoints of AD, AC, and CE, respectively. FJ is perpendicular to GH. If CG = 8 find FJ. 

Geometry Problem 1000: Scalene Triangle, Isosceles, Angle, 120 Degree, Midpoint, Distance, Equilateral, Congruence, Perpendicular, Metric Relations

 

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