To construct parallelogram ABCD using the given information follow these steps:
(1)Draw AB=6 cm
(2)At A draw ray AX such that ∠BAX=60∘.
(3)With A as centre and 3 cm radius cut AX at D.
(4)With D as centre and 6 cm radius draw an arc.
(5)with B as centre and 3 cm radius cut the previous arc at C.
(6)Join BC and DC
(7)We have drawn the parallelogram using the property opposite sides of a parallelogram are equal.