The given square ABCD can be drawn as follows:

Step 1: Draw a line segment AC = 5.8 cm.

Step 2: Draw the bisector XY of AC meeting at O

Step 3: Set OB = 2.9 cm and OD = 2.9 cm (Half of 5.8 cm)

Step 4: Now, join AB, BC, CD and DA.

ABCD is the required square.