Question

Construct a parallelogram ABCD where AB = 3.6 cm, BC = 4.2 cm and AC = 6.5 cm.

Answer 1

Step 1. Draw AC = 6.5 cm as shown in figure.

Step 2. With A as centre and radius AB = 3.6 cm, draw an arc.

Step 3. With C as centre and radius BC = 4.2 cm, draw an arc, intersecting the arc drawn in step 2 at B.

Step 4. With A as centre and radius AD = 4.2 cm, draw an arc on the side of AC opposite to that of B.

Step 5. With C as centre and radius CD = 3.6 cm, draw another arc to intersect the arc drawn in step 4 at D.

Step 6. Join AB, BC, AD and CD to obtain the required parallelogram ABCD