Question
Construct a quadrilateral $ABCD$ in which $AB = 4.8\ cm, AC = 5.8\ cm, AD = 3.6\ cm, \angle A = 105^\circ $ and $\angle B = 60^\circ $
✓
Answer
$AB = 4.8\ cm, AC = 5.8\ cm, AD = 3.6\ cm, \angle A = 105^\circ $ and $\angle B = 60^\circ $
Steps of Construction:
$1)$ Draw a line segment $AB = 4.8\ cm.$
$2)$ With $A$ as centre draw rays $X$ and $Y$ to make angles $60^\circ$ and $90^\circ $ with $AB$ produced.
Then bisect the angle between them to make an angle of $105^\circ $ with $AB.$
$3)$ With $A$ as centre and radius $3.6\ cm$ cut an arc on line segment making $105^\circ $ angles wit $AB$ and mark it as $D.$
$4)$ With $B$ as centre draw a ray making and angle of $60^\circ $ with $AB$
$5)$ With $A$ as centre and radius $5.8\ cm$ cut an arc on the ray from $B$ an mark the point as $C.$
$6)$ Join $BC$ and $DC.$
$7) \text{ABCD}$ is the required quadrilateral.
Steps of Construction:
$1)$ Draw a line segment $AB = 4.8\ cm.$
$2)$ With $A$ as centre draw rays $X$ and $Y$ to make angles $60^\circ$ and $90^\circ $ with $AB$ produced.
Then bisect the angle between them to make an angle of $105^\circ $ with $AB.$
$3)$ With $A$ as centre and radius $3.6\ cm$ cut an arc on line segment making $105^\circ $ angles wit $AB$ and mark it as $D.$
$4)$ With $B$ as centre draw a ray making and angle of $60^\circ $ with $AB$
$5)$ With $A$ as centre and radius $5.8\ cm$ cut an arc on the ray from $B$ an mark the point as $C.$
$6)$ Join $BC$ and $DC.$
$7) \text{ABCD}$ is the required quadrilateral.
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