Question

Construct a quadrilateral $ABCD$, when $AB=3.2$ cm, $BC=5.2$ cm, $CD=6.2$ cm, $DA=4.2$ cm and $BD=5.2$ cm.

Answer 1

$\Rightarrow$ Draw a line segment $AB=3.2cm$

$\Rightarrow$ $A$ as center with radius $4.2cm$ and draw an arc.

$\Rightarrow$ $B$ as center with radius $5.2cm$ and draw an arc, which cuts off previous arc at point $D$

$\Rightarrow$ $B$ as center with radius $5.2cm$ and draw an arc.

$\Rightarrow$ $D$ as center with radius $6.2cm$ and draw an arc, which cuts off previous arc at point $C$

$\Rightarrow$ Now join $BC,CD,DA$ and $BD$

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