Question
Construct a parallelogram $\text{HOME}$ with $\text{HO} = 6\ cm, \text{HE} = 4\ cm$ and $\text{OE} = 3\ cm$.
✓
Answer
Steps of Construction:
$1.$ Draw $\text{HO} = 6\ cm$
$2.$ With $H$ as centre $\&$ radius $\text{HE} = 4\ cm$ draw an arc.
$3.$ With $O$ as centre $\&$ radius $\text{OE} = 3\ cm$, draw an arc, intersecting the arc drawn in Step $2$ at $E$.
$4.$ With $E$ as centre $\&$ radius $\text{EM} = 6\ cm$, draw an arc opposite to the side $\text{HE}$.
$5.$ With $O$ as centre $\&$ radius $\text{OM} = 4\ cm$, draw an arc, intersecting the arc drawn in in step $4$ at $M$ .
$6.$ Join $\text{HE, OE, EM}$ and $\text{OM}$.
Hence, $\text{HOME}$ is the required parallelogram.
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