Question

Construct a parallelogram ABCD, when AB = 3.5 cm, BC = 5.5 cm and ∠B = 75°.

Answer 1

Given:

• AB = 3.5 cm
• BC = 5.5 cm
• ∠B = 75°

Steps of Construction:

1. Draw the side BC = 5.5 cm.
2. At point B, construct ∠B = 75° using a protractor.
3. From point B, along the line forming the 75° angle, mark point A such that AB = 3.5 cm.
4. With A as center and radius BC = 5.5 cm, draw an arc.
5. With C as center and radius AB = 3.5 cm, draw another arc to intersect the arc drawn from A. Mark the intersection point as D.
6. Join AD and CD to complete the parallelogram ABCD.

Thus, ABCD is the required parallelogram with AB = 3.5 cm, BC = 5.5 cm and ∠B = 75°.