MATHS

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Four points lie in a plane. They are partitioned into two pairs so that the sum of the lengths of the segments joining the points of each pair has the minimal possible value.
Prove that these segments have no common points.

  • MATHS -

    Let segments AB and CD have common point E. Then AC<AE+EC and BD<BE+ED.
    AE+EC+BE+ED=AB+CD

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