Question

Construct a quadrilateral ABCD with AB=3 cm, BC=4 cm, CD= 3.5 cm, AD= 4.5 cm and AC=5 cm.

Answer 1

$\Rightarrow$ Draw a line segment $AB=3cm$

$\Rightarrow$ Take $A$ as center with radius $5cm$ and draw an arc.

$\Rightarrow$ Take $B$ as center with radius $4cm$ and draw an arc, which meets previous arc at point $C$.

$\Rightarrow$ Take $A$ as center with radius $4.5cm$ and draw an arc.

$\Rightarrow$ Take $C$ as center with radius $3.5cm$ and draw an arc, which meets previous arc at point $D$.

$\Rightarrow$ Join $AC,BC,CD$ and $AD.$

$\therefore$ $ABCD$ is a required quadrilateral.