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Second 2014 puzzle. Dissection of a square


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Place a point P at coordinates (6, 7) in a square with diagonal vertices (0, 0) and (12, 12).

From P draw lines to the vertices and perpendiculars to the sides.

This defines eight triangles that meet at P.

Ignoring permutation of identical pieces, how many other ways can these triangles form a square?

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