[vc_row][vc_column][vc_column_text]In how many ways can you arrange 4 distinct points in the plane so there are exactly two different distances amongst the 6 pairs?
e.g. if the four points are at the corners of a square then the four sides are the same length and the two diagonals are the same length.
[/vc_column_text][/vc_column][/vc_row][vc_row][vc_column][lvca_accordion][lvca_panel panel_title="Reveal Solution"]6 different ways
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Problem Page Coordinator: Stephen Lee CMath MIMA - Mathematics in Education and Industry
Acknowledgement: The IMA are indebted to MEI for sourcing and supplying Mathematics Today with these well-known puzzles.
First published in Mathematics Today (December 2015)
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