Question
Construct a quadrilateral $\text{ABCD}$ in which $AB = 7.2\ cm, BC = 5.8\ cm, CD = 6.3\ cm, AD = 4.3\ cm$ and $\angle A = 75^\circ $
✓
Answer
$AB = 7.2\ cm, BC = 5.8\ cm, CD = 6.3\ cm, AD = 4.3c$m and $\angle A = 75^\circ $
Steps of Construction:
$1)$ Draw a line segment $AB = 7.2\ cm$
$2)$ With $A$ as centre draw rays $X$ and $Y$ to make angle $90^\circ $ and $60^\circ $ with $AB$.
Then bisect the angle between them to make an angle of $75^\circ $ with $AB.$
$3)$ With $A$ as centre and radius $4.3\ cm$ cut an arc on line segment making $75^\circ $ angles wit $AB$ and mark it as $D.$
$4)$ With $D$ and $B$ as centres and radii of $6.3$ and $5.8\ cm$ respectively, draw arcs cutting each other at $C.$
$5)$ Join $DC$ and $BC.$
$6)\text{ABCD}$ is the required quadrilateral.
Steps of Construction:
$1)$ Draw a line segment $AB = 7.2\ cm$
$2)$ With $A$ as centre draw rays $X$ and $Y$ to make angle $90^\circ $ and $60^\circ $ with $AB$.
Then bisect the angle between them to make an angle of $75^\circ $ with $AB.$
$3)$ With $A$ as centre and radius $4.3\ cm$ cut an arc on line segment making $75^\circ $ angles wit $AB$ and mark it as $D.$
$4)$ With $D$ and $B$ as centres and radii of $6.3$ and $5.8\ cm$ respectively, draw arcs cutting each other at $C.$
$5)$ Join $DC$ and $BC.$
$6)\text{ABCD}$ is the required quadrilateral.
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