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Online Geometry Problem 709: Parallelogram, Midpoint, Diagonal, Metric Relations, Triangle. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a parallelogram ABCD, E midpoint of BC and F midpoint of CD. AE and BF meet at G, AF and DE meet at H, HG extended meets BC at M. If MH = 3, find the diagonal BD.
 

Parallelogram, Diagonal, Midpoint, Metric Relation
 

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