MathDB
2021-22 Winter Team #1

Source:

April 17, 2022
geometry

Problem Statement

Let ABCABC be a right triangle with hypotenuse AC‾\overline{AC} and circumcenter OO. Point EE lies on AB‾\overline{AB} such that AE=9AE = 9, EB=3EB = 3, point FF lies on BC‾\overline{BC} such that BF=6BF = 6, FC=2FC = 2. Now suppose W,X,YW, X, Y, and ZZ are the midpoints of EB‾\overline{EB}, BF‾\overline{BF}, FO‾\overline{FO}, and OE‾\overline{OE}, respectively. Compute the area of quadrilateral WXYZW XY Z.
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