Question
Construct a quadrilateral $\text{ABCD},$ when$:AD = AB = 4 \ cm, BC = 2.8 \ cm, CD = 2.5 \ cm$ and $\angle BAD = 45^\circ .$

Answer



Steps:
$1$. Draw $A D=4 \ cm$.
$2.$ Draw $AP$ such that $\angle A=45^{\circ}$.
$3.$ With $A$ as a center with radii, $4 \ cm$ draw an arc at $B$ on $AP.$
$4.$ Now taking B and D as a center and radii $2.8 \ cm$ and $2.8 \ cm$ draw arcs cutting each other at $C$.
$5.$ Now join $BC$ and $C D$.
$\text{ABCD}$ is the required quadrilateral.

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