Monday, July 15, 2013

Problem 902: Triangle, Four Squares, Center, Concurrent Lines

Geometry Problem. GeoGebra, HTML5 Animation for iPad and Nexus.
Post your solution in the comments box below.

Level: Mathematics Education, High School, Honors Geometry, College.

Click here to see the static diagram of problem 902.
Click here to see the dynamic diagram of problem 902.

Online Geometry Problem 902: Triangle, Four Squares, Center, Concurrent Lines. GeoGebra, HTML5 Animation for iPad and more tablets

1 comment:

  1. Connect BJ and EC, which intersect perpendicularly at V; connect BH and AF, which intersect perpendicularly at W (Vecten theorem). Connect VW. Draw circle ACHJ, which passes through V and W (because of right angles at V and W). Connect HM and JM, which are tangents to circle ACHJ. Then cyclic quadrilateral VWHJ with tangents at H and J becomes a 4-point degenerate case of Pascal's hexagon theorem. Thus BM, VH and WJ are concurrent at O. QED

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