Question

Construct a parallelogram ABCD, when:
Base AB = 6.5 cm, BC = 4 cm and the altitude corresponding to AB = 3.1 cm.

Answer 1

Steps :
1. Draw AB = 6.5 cm.
2. At B, draw BP ⊥ AB.
3. From BP cut BE = 3.1 cm.
4. Through E draw a perpendicular to BP to get QR parallel to AB.
5. With B as a center and radius = AC = 4cm, draw an arc that cuts QR at C.
6. With A as a center and radius = AD = 4 cm, draw an arc that cuts QR at D.

ABCD is the required parallelogram.