MathDB

2

Part of 2002 Czech and Slovak Olympiad III A

Problems(1)

Find locus of the midpoints of the sides $KL$ of KLM

Source: Czech and Slovak MO, 2002, P2

9/15/2012
Consider an arbitrary equilateral triangle KLMKLM, whose vertices K,LK, L and MM lie on the sides AB,BCAB, BC and CDCD, respectively, of a given square ABCDABCD. Find the locus of the midpoints of the sides KLKL of all such triangles KLMKLM.
geometrycircumcircleperpendicular bisectorgeometry unsolved