Question

Construct a quadrilateral PQRS with PQ=9cm, QR=5cm, RS=8cm, PR=10cm, QS=13cm.

Answer 1

1. Draw $QR$ of length $5cm$.

2. Cut an arc of $13cm$ from $Q$ and $8cm$ from $R$. Their point of intersection is $S$.

3. Cut an arc of $9cm$ from $Q$ and $10cm$ from $R$. Their point of intersection is $P$.

4. Join $PQ,PS,SR,QR$.

$PQRS$ is the required quadrilateral.