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Static Diagram Geometry Problem 902: Triangle, Four Squares, Center, Concurrent Lines. Levels: School, College, Mathematics Education

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Static Geometry Problem 902: Triangle, Four Squares, Center, Concurrent Lines.

 

Given a triangle ABC (see the figure above) with the squares ABDE, BCFG, ACHJ, and HJKL. If M is the center of square HJKL, prove that lines DH, GJ, and BM are concurrent at O.
See the dynamic diagram of problem 902 

 

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