Question

Construct the quadrilateral $PQRS$ with $PQ=3.5cm,QR=4cm,RS=5cm.PS=4.5cm$ and $QS=6.5cm$.

Answer 1

Steps for construction :

Step 1. Draw a line segment $PQ=3.5$ cm.

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

Step 3. With $Q$ as centre and radius $=6.5$ cm, draw an arc to cut the arc in the previous step at point $S$

Step 4. Join $PS$ and $QS$

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

Step 3. With $Q$ as centre and radius $=4$ cm, draw an arc to cut the arc in the previous step at point $R$

Step 4. Join $SR$ and $QR$

Hence, required quadrilateral $PQRS$ is constructed.