MathDB

6

Part of 2016 Indonesia MO

Problems(1)

Square geometry

Source:

8/31/2016
For a quadrilateral ABCDABCD, we call a square amazingamazing if all of its sides(extended if necessary) pass through distinct vertices of ABCDABCD(no side passing through 2 vertices). Prove that for an arbitrary ABCDABCD such that its diagonals are not perpendicular, there exist at least 6 amazingamazing squares
real number