perplexus.info :: Shapes : Four points on a Plane

Four points on a Plane (Posted on 2004-11-21)

How many ways can four points be arranged in a plane so that the six distances between pairs of points take on only two different values?

See The Solution Submitted by Erik O.

Rating: 4.1429 (7 votes)

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re(2): And three more

| Comment 7 of 15 |

(In reply to by )

No it isn't, Ceeane. Your rhombus is formed by equilateral Triangles ABC and BCD, where AD is longer than AB. I have mentioned a non-rhombus, where AD = AB = AC = BC. In my figure, lengths BD and CD are shorter than AB.

Posted by Steve Herman on 2004-11-22 00:02:30

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