MathDB
2018 MOAA Team P9

Source:

January 23, 2022
geometryteam2018

Problem Statement

Quadrilateral ABCDABCD with AC=800AC = 800 is inscribed in a circle, and E,W,X,Y,ZE, W, X, Y, Z are the midpoints of segments BDBD, ABAB, BCBC, CDCD, DADA, respectively. If the circumcenters of EWZEW Z and EXYEXY are O1O_1 and O2O_2, respectively, determine O1O2O_1O_2.
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