Question

Construct a quadrilateral $PQRS$ in which $PQ=4.5cm$, $QR=5.2cm$, $RS=5.5cm$, $PS=4cm$ and $\angle PQR={120}^o$.

Answer 1

$\Rightarrow$ Draw line segment $PQ=4.4cm$

$\Rightarrow$ Take $Q$ as a center and draw angle of ${120}^o$.

$\Rightarrow$ Cut off $RS=5.5cm$

$\Rightarrow$ Take $R$ as center with radius $5.5cm$ and draw an arc.

$\Rightarrow$ Take $P$ as center with radius $4cm$ and draw an arc cutting previous arc at point $S$.

$\Rightarrow$ Join $PA$ and $RS$

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