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locus of intersection of diagonals of rectangle circumscribed to a triagnle

Source: Czech and Slovak MO, III A, 2005 p4

January 12, 2020
geometryrectangleLocusIntersection diagonals

Problem Statement

An acute-angled triangle AKLAKL is given on a plane. Consider all rectangles ABCDABCD circumscribed to triangle AKLAKL such that point KK lies on side BCBC and point LL lieson side CDCD. Find the locus of the intersection SS of the diagonals ACAC and BDBD.
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