Question

Construct a quadrilateral ABCD in which AB = 5.5 cm, AD = 4.4 cm, CD = 6.5 cm, AC = 6.5 cm and BD = 7.1 cm.

Answer 1

Step 1. Draw AC = 6.5 cm.

Step 2. With A as centre and radius AD = 4.4 cm, draw an arc.

Step 3. With C as centre and radius CD = 6.5 cm, draw an arc to intersect the arc drawn in step 2 at D.

Step 4. With A as centre and radius AB = 5.5 cm, draw an arc on the side of AC opposite to that of D.

Step 5. With D as centre and radius BD = 7.1 cm, draw an arc intersecting the arc drawn in step 4 at B.

Step 6. Join AD, CD, AB and CB to obtain the required quadrilateral