MathDB

3

Part of 1960 Kurschak Competition

Problems(1)

FG touches the inscribed circle of the square.

Source: 1960 Hungary - Kürschák Competition p3

10/10/2022
EE is the midpoint of the side ABAB of the square ABCDABCD, and F,GF, G are any points on the sides BCBC, CDCD such that EFEF is parallel to AGAG. Show that FGFG touches the inscribed circle of the square.
squaregeometry