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(385) 3

Part of 1993 Tournament Of Towns

Problems(1)

midpoints of sides are vertices of square.

Source: TOT 385 1993 Autumn A J3 - Tournament of Towns

6/12/2024
Three angles of a non-convex, non-self-intersecting quadrilateral are equal to 4545 degrees (i.e. the last equals 225225 degrees). Prove that the midpoints of its sides are vertices of a square.
(V Proizvolov)
geometrysquaremidpoints