Question

Construct a quadrilateral ABCD, if AB=4.5 cm, BC=5.5 cm, CD=5 cm, DA=4.8 cm, and $\angle ABC={60}^{\circ }$.

Answer 1

$\Rightarrow$ Draw a line segment $AB=4.5cm$

$\Rightarrow$ Take $B$ as center and draw an angle of ${60}^o.$

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

$\Rightarrow$ Take $A$ as with radius $4.8cm$ and draw an arc.

$\Rightarrow$ Take $C$ as with radius $5cm$ and draw an arc, which cuts off previous arc at point $D$

$\Rightarrow$ Join $CD$ and $AD.$