On vacation
Ivan and Katka discovered on vacation a regular pyramid whose base was a square with a side of 230 m and whose height was equal to the radius of a circle with the same area as the base square. Katka labelled the vertices of the square ABCD. Ivan marked on the line connecting point B with the apex of the pyramid such a point E that the length of the broken line AEC was the shortest possible. Determine the length of the broken line AEC rounded to whole centimetres.
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