Question
Construct a quadrilateral $\text{ABCD},$ when:$BC = 7.5 \ cm AC = 5.8 \ cm, AD = 3.6 \ cm, CD = 4.2 \ cm$ and $\angle A = 120^\circ .$
✓
Answer
Steps:
$1.$ Draw $AD=3.6 \ cm$
$2.$ draw $AP$ such that $\angle A=120^{\circ}$.
$3.$ With $A$ and $D$ as a center and radii $5.8 \ cm$ and $4.2 \ cm$ draw arcs cutting each other at $C$.
$4.$ Now join $A C$ and $CD$.
$5.$ Now with $C$ as center and radii $7.5 \ cm$ draw an arc at $B$ on $AP.$
$6.$ Now join $CB.$
$\text{ABCD}$ is the required quadrilateral.
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