We know that if you have the length of one side
of a square that you can construct the square.
And in fact there is a very easy tool for that in
GeoGebra – the regular polygon tool.
We just click on the first point and then we click
on the second point.
Because the square is a regular polygon with
four points or four sides, we can on OK.
There is our square with this side.
However, we might not know that a square is
also determined – that is, we can construct it
from its diagonal.
Your challenge here is to find out everything you
can about the diagonal of a square and
use this information to construct a square whose
diagonal is this line segment d. Good luck!