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computational geo with cyclic 2016-gon - 2016 Ecuador Juniors (OMEC) L2 p3

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October 24, 2022
geometry

Problem Statement

Let P1P2...P2016P_1P_2 . . . P_{2016 } be a cyclic polygon of 20162016 sides. Let KK be a point inside the polygon and let MM be the midpoint of the segment P1000P2000P_{1000}P_{2000}. Knowing that KP1=KP2011=2016KP_1 = KP_{2011} = 2016 and KMKM is perpendicular to P1000P2000P_{1000}P_{2000}, find the length of segment KP2016KP_{2016}.
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