Question

Construct a quadrilateral $ABCD$ with $AB=6cm,BC=4cm,CD=7cm,AC=8cm$ and $BD=7cm.$

Answer 1

$\Rightarrow$ Draw a line segment $AB=6cm$.

$\Rightarrow$ With $B$ as a center and radius $BC=4cm$, draw an arc.

$\Rightarrow$ With $A$ as a center and radius $AC=8cm$, draw an arc intersecting the previous arc at point $C$.

$\Rightarrow$ Again take $B$ as a center and radius $BD=7cm$, draw an arc.

$\Rightarrow$ With $C$ as a center and radius $CD=7cm$, draw an arc intersecting the previous arc at point $D$4.

$\Rightarrow$ Join $AC,BC,BD,CDandAD$.

Thus, $ABCD$ is a required quadrilateral.