Question

Construct a trapezium $PQRS$ in which $PQ\parallel SR,PQ=6cm,RS=3cm,PS=3cm$ and $QR=5$.

Answer 1

$1.$ Draw a line segment $PQ=6cm.$

$2.$ By taking $P$ as centre take an arc of $3cm$ and cut line segment $PQ$ at $E.$

$3.$ Now taking $E$ as centre, draw an arc of $3cm$ and also by taking $Q$ as centre draw an arc of $5cm$ which cuts the previous arc at $R.$

$4.$ By taking $R$ as centre, draw an arc of $3cm$ and finally cut this arc by taking an arc of $3cm$ from $P.$

This will be the required trapezium $PQRS.$