Question

Construct a parallelogram ABCD, when AB = 4.5 cm, BC = 6 cm and ∠B = 60°.

Answer 1

Given:

• AB = 4.5 cm
• BC = 6 cm
• ∠B = 60°

Steps of Construction:

1. Draw the line segment BC = 6 cm.
2. At point B, construct an angle of 60°.
3. From point B on the ray forming the 60° angle, cut off a segment BA = 4.5 cm.
4. Join point A to point C.
5. With A as center and radius BC = 6 cm, draw an arc.
6. With C as center and radius AB = 4.5 cm, draw another arc to intersect the first arc at point D.
7. Join points A to D and C to D.

ABCD is the required parallelogram with sides AB = 4.5 cm, BC = 6 cm and angle ∠B = 60°.