Question

Construct a quadrilateral $ABCD$ with $AB=3$ cm, $BC=7$ cm, $CD=9$ cm, $CA=11$ cm, $BD=13$ cm.

Answer 1

First draw a line segment $BC=7$ cm.

Open compass $9$ cm and mark curve from point $C$.

Open compass $13$ cm and mark curve from point $B$.

These curve cut each other at point $D$, then join $B$ to $D$ and $C$ to $D$

Open compass $11$ cm and mark curve from point $C$.

Open compass $3$ cm and mark curve from point $B$.

These curve cut each other at point $A$, then join $A$ to $B$ and $A$ to $D$

Hence, $ABCD$ is the required quadrilateral.