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lines AE and BF intersect on the circumcircle of the square ABCD

Source: 1951 Hungary - Kürschák Competition p1

October 10, 2022
geometryconcurrentsquare

Problem Statement

ABCDABCD is a square. EE is a point on the side BCBC such that BE=1/3BCBE =1/3 BC, and FF is a point on the ray DCDC such that CF=1/2DCCF =1/2 DC. Prove that the lines AEAE and BFBF intersect on the circumcircle of the square. https://cdn.artofproblemsolving.com/attachments/e/d/09a8235d0748ce4479e21a3bb09b0359de54b5.png
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