Task B

Take any triangle ABC. Construct squares externally on each side and locate the center of each square. Label these centers A', B' and C' for the squares opposite angles A, B and C.

Construct lines AA', BB' and CC'. Observe. Are they concurrent? Is the point of concurrency any of the orthocenter, centroid, incenter or circumcenter of triangle ABC? If not what can you find out about this point.

The point S (the cuncurrency of lines AA', BB' and CC') is discussed fully in Task D though the fact that the lines are concurrent is not proved!