Question

Construct a quadrilateral $ABCD$ with $AB=4.5cm,BC=5.5cm,CD=4cm,AD=6cm$ and diagonal $AC=7cm$.

Answer 1

Steps for construction :

Step 1. Draw a line segment $BC=5.5$ cm.

Step 2. With $B$ as centre and radius $=4.5$ cm, draw an arc.

Step 3. With $C$ as centre and radius $=7$ cm, draw an arc to cut the arc in previous step at point $A$

Step 4. Join $BA$ and $CA$

Step 5. With $C$ as centre and radius $=4$ cm, draw an arc.

Step 3. With $A$ as centre and radius $=6$ cm, draw an arc to cut the arc in previous step at point $D$

Step 4. Join $AD$ and $CD$

Hence, required quadrilateral $ABCD$ is constructed.