Question

Construct a parallelogram ABCD, when:
Base BC = 5.6 cm, diagonal BD = 6.5 cm and altitude = 3.2 cm.

Answer 1

Steps:
1. Draw BC = 5.6 cm.
2. At C, draw CX perpendicular to BC.
3. with C as a centre and taking radius 3.2 cm to draw an arc to cut CX at Y.
4. Through Y draw a straight line PQ parallel to BC.
5. With B as a centre and radius, 6.5 cm draw an arc to meet PQ at D.
6. With D as a centre and radius equal to 5.6 cm, draw an arc to meet PQ at A.
7. Join BA, BD and CD.

ABCD is the required parallelogram.