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computational geometry for 15yo, distance inside a parallelogram

Source: May Olympiad (Olimpiada de Mayo) 2018 L2

September 10, 2018
geometryparallelogramdistance

Problem Statement

In a parallelogram ABCDABCD, let MM be the point on the BCBC side such that MC=2BMMC = 2BM and let NN be the point of side CDCD such that NC=2DNNC = 2DN. If the distance from point BB to the line AMAM is 33, calculate the distance from point NN to the line AMAM.
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