We consider three distinct half-lines
in a plane. Prove the existence and uniqueness of three points
such that the perimeters of the triangles
are all equal to a given number
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We consider three distinct half-lines $Ox, Oy, Oz$ in a plane. Prove the existence and uniqueness of three points $A \in Ox, B \in Oy, C \in Oz$ such that the perimeters of the triangles $OAB,OBC,OCA$ are all equal to a given number $2p > 0.$
Školjka