Inscribed Squares
Move point A and try to minimize the area of the
small black square. What is the ratio of the large square to the
small square when the black square is minimized?
Now manipulate the larger square using the two red points. When
the smaller square is minimized, see if the ratio remains the same for
any size red square.
Notice the position of A when the area of the black square is
minimized. What is A in terms of the side it is on?