Geometry Problem 1400: Triangle with three rectangles on the sides, Perpendicular Bisectors, Concurrency

Proposition

The figure below shows a triangle ABC with three rectangles ABDE, BCFG and ACHJ. Prove that the perpendicular bisectors of EJ, DG, and FH are concurrent.
 

Geometry Problem 1400: Triangle with three rectangles on the sides, Perpendicular Bisectors, Concurrency, Tutor