Question
Construct a quadrilateral $\text{ABCD},$ when:$\angle A = 90^o, AB = 4.6\ cm, BD = 6.4\ cm, AC = 6.0\ cm$ and $CD = 4.2\ cm.$
✓
Answer
Steps:
$1.$ Draw $AB=4.6\ cm$.
$2.$ Through $A$, draw $AP$ such that Angle $A=90^{\circ}$.
$3.$ With $B$ as a center and radii $6.4 \ cm$ draw an arc at $D$ on $AP.$
$4.$ With $D$ and $A$ as a center and radii, $4.2 \ cm$ and $6 \ cm$ draw an arc cutting each other at $C$.
$5.$ Now join $BD , AC$, and $CB$.
$\text{ABCD}$ is the required quadrilateral.
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