Question

Construct a square ABCD, given it's one diagonal = 4.5 cm

Answer 1

A square has diagonals perpendicular to each other and are equal
1. Draw a rough diagram and mark the given points
2. Draw a line segments $DO=4.5cm$
3. Construct a perpendicular bisector XY of DO.XY intersect DO at P and DP
$=PO=2.25cm$
4.With D as centre and radius $2.25cm$ draw arcs cutting XY at G and L
.
5.Join DL,DG,OL,OG.
6.GOLD is the required square