MathDB

2

Part of 1906 Eotvos Mathematical Competition

Problems(1)

centers of squares erected onsides (outside) of rhombus form a square

Source: Eotvos 1906 p2

9/6/2024
Let K,L,M,NK, L,M,N designate the centers of the squares erected on the four sides (outside) of a rhombus. Prove that the polygon KLMNKLMN is a square.
geometryrhombussquare