Problem 501. Finsler–Hadwiger theorem. Triangle, Two Squares, Center, Midpoint, another Square. Level: High School, College, SAT Prep.
The drawing shows a triangle ABC with the squares ABDE and BCGH
of centers F and N, respectively. If S and I are the midpoints
of AC and DH, respectively, prove that FINS is another square.
Artwork of problem 501