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circumradius of PQR, in square ABCD

Source: 1962 Swedish Mathematical Competition p2

March 21, 2021
geometryradiussquare

Problem Statement

ABCDABCD is a square side 11. PP and QQ lie on the side ABAB and RR lies on the side CDCD. What are the possible values for the circumradius of PQRPQR?
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