Math: Geometry Problem 1004:
Triangle with Squares, Perpendicular Bisectors,
Concurrent Lines. Level: School, College.
The figure below shows a triangle ABC
with squares ABC_{1}C_{2}, BCA_{1}A_{2}, and ACB_{2}B_{1}. Prove that the
perpendicular bisectors of B_{1}C_{2}, A_{2}C_{1}, and A_{1}B_{2} are concurrent
at O.
See also:
GeoGebra of problem 1004
