Question
Construct a quadrilateral $\text{ABCD},$ when$:AB = 3.8 \ cm, AC = 4.8 \ cm, AD = 2.8 \ cm, \angle A = 105^\circ $ and $\angle B = 60^\circ .$

Answer




Steps:
$1.$ Draw $A D=2.8 \ cm$
$2.$ Draw $A B=3.8 \ cm$ and $\angle A=105^{\circ}$.
$3.$ Draw $BP$ such that $\angle B=60^{\circ}$.
$4.$ With $A$ as a center and radii $4.8 \ cm$ draw an arc cutting $B P$ at $C$.
$5.$ Join $AC, A D$.
$\text{ABCD}$ is the required quadrilateral.

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