Go Geometry Problem Geometry Problem 219. Rhombus, perpendiculars, arithmetic mean

In a rhombus ABCD, OE is perpendicular to AD and the line FGHMN is perpendicular to CD. Prove that HE is the arithmetic mean of FG and MN. View or post a solution.
 

Rhombus, perpendiculars, arithmetic mean
 

 

 

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