Construct a parallelogram ABCD in which diagonal AC = 5.6 cm, diagonal BD = 6.2 cm and angle between them is 60°.

Steps of construction:

1. Draw AC = 5.6 cm.

2. Find mid-point of AC.

3. Construct ∠AOX = 60°, produce XO to Y.

4. With O as centre and radii = $\dfrac{1}{2}$ (6.2) = 3.1 cm, draw arcs, cutting OX at D and OY at B.

5. Join AB, BC, CD and DA.

Hence, ABCD is required parallelogram.