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Triangle beside $^2$ construction

Source: Sharygin CR P7(Grades 8-9)

March 4, 2022
Sharygin Geometry OlympiadSharygin 2022geometry

Problem Statement

A square with center FF was constructed on the side ACAC of triangle ABCABC outside it. After this, everything was erased except FF and the midpoints N,KN,K of sides BC,ABBC,AB. Restore the triangle.
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