Question

Construct a cyclic quadrilateral $ABCD$ where $AB=6$ cm, $AD=4.8$ cm, $BD=8$ cm and $CD=5.5$ cm

Answer 1

$1$. Draw a line segment $AB=6$ cm.
$2$. Draw triangle $ABD$ with given measurement.
$3$. Draw a perpendicular bisector of the side $AB$ and $BD$, they meet at $O$.
$4$. Draw a circle with $O$ as the centre $OA$ as the radius.
$5$. With $D$ as the centre draw an arc of length $5.5$ cm, it intersects the circle at $C$.
$6$. Join $CD$ and $BD$.
$7$. $ABCD$ is the required quadrilateral.