Question

Construct a quadrilateral $ABCD$, when $AB=7.2$ cm, $BC=5.8$ cm, $CD=6.3$ cm, $DA=4.3$ cm and $\angle A={75}^o$.

Answer 1

$\Rightarrow$ Draw a line segment $AB=7.2cm$

$\Rightarrow$ Take $A$ as center and draw an angle of ${75}^o.$

$\Rightarrow$ Cut off $AD=4.3cm$

$\Rightarrow$ Take $D$ as center with radius $6.3cm$ and draw an arc.

$\Rightarrow$ Take $B$ as center with radius $5.8cm$ and draw an arc, which cuts off previous arc at $C.$

$\Rightarrow$ Join $BC$ and $CD$

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