Question

Construct a parallelogram $ABCD$ with $AB=6cm,CD=4.5cm$ and $BD=7.5cm$

Answer 1

In parallelogram $ABCD$,

$AB=CD=6$ cm and $BC=AD=4.5$ cm

Steps for construction :

Step 1. Draw a line segment $AB=6$ cm.

Step 2. With $B$ as centre and radius $=7.5$ cm, draw an arc.

Step 3. With $A$ as centre and radius $=4.5$ cm, draw an arc to cut the arc in the previous step at point $D$

Step 4. Join $BD$ and $AD$

Step 5. With $B$ as centre and radius $=6$ cm, draw an arc.

Step 3. With $D$ as centre and radius $=4.5$ cm, draw an arc to cut the arc in the previous step at point $C$

Step 4. Join $BC$ and $CD$

Hence, required parallelogram $ABCD$ is constructed.