Using ruler and compasses only, construct a parallelogram ABCD such that BC = 4 cm, diagonal AC = 8.6 cm and diagonal BD = 4.4 cm. Measure the side AB.

Steps of construction:

1. Draw a line segment BC = 4 cm.
2. Construct triangle OBC such that
   OB = $\dfrac{1}{2}$ x BD = 2.2 cm
   OC = $\dfrac{1}{2}$ x AC = 4.3 cm
3. With B as center and radius 2.2 cm and with centre C and radius 4.3 cm, draw arcs intersecting each other at O.
   Since, diagonals of || gm bisect each other.
4. Produce BO to D such that BO = OD = 2.2 cm.
5. Produce CO to A such that CO = OA = 4.3 cm.
6. Join AB, AD and CD. Then ABCD is the required parallelogram.

On measuring AB = 5.6 cm.

Hence, AB = 5.6 cm.