Question
Construct a quadrilateral $ABCD,$ when$:AB = 7.2 \ cm, BC = 5.8 \ cm, CD = 6.3 \ cm, AD = 4.3 \ cm$ and $\angle A = 75^\circ .$

Answer



Steps:
$1.$ Draw $AB =7.2 \ cm$
$2.$ Through A draw AP such that $\angle A=75^{\circ}$.
$3. $From $A P$ cut $A D=4.3 \ cm$
$4.$ With $D$ and $B$ as center and radii $6.2 \ cm$ and $5.8 \ cm$ respectively, draw arcs cutting each other at $C$.
$5.$ Join $DC$ and $BC$.
$\text{ABCD}$ is the required quadrilateral.

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