Question

Can you draw the following? Give reasons.
A parallelogram $HOTS$ where $HO=5cm,OT=6cm$ and $OS=5.5cm$

Answer 1

We can draw the given parallelogram, since we know in parallelogram opposite sides are equal.

$\Rightarrow$ $HO=TS=5cm$

$\Rightarrow$ $SH=OT=6cm$

$\Rightarrow$ Draw a line segment $HO=5cm$

$\Rightarrow$ Take $O$ as center with radius $5.5cm$ and draw an arc.

$\Rightarrow$ Take $H$ as center with radius $6cm$ and draw an arc, which cuts off previous arc at point $S$.

$\Rightarrow$ Take $O$ as center with radius $6cm$ and draw an arc.

$\Rightarrow$ Take $S$ as center with radius $5cm$ and draw an arc, which cuts off previous arc at point $T$.

$\Rightarrow$ Join $OT,TS,SH$ and $OS$

$\therefore$ $HOTS$ is required parallelogram.