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Online Geometry Problem 714: Triangle, Parallel, Cevians, Midpoints, Median, Ceva Theorem. Level: High School, Honors Geometry, College, Math Education

The figure shows a triangle ABC with DE parallel to AC. AE and CD meet at F. BF meets DE and AC at H and G, respectively. Prove that G is the midpoint of AC and H is the midpoint of DE.
 

 Triangle, Parallel, Cevian, Median, Ceva Theorem application
 

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Typography of problem 714

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