Question

$OE=\frac{1}{2}AB.$

Answer 1

(i) Construct line segment AB of length $6$ cm.
(ii) At point A, construct angle of ${45}^0$ with the help of compass and
name it as $\angle BAL$
(iii) Taking $5$ cm as radius, mark an arc on the ray AL and name the point
of intersection as D.
(iv) From point B, draw an arc measuring $5cm$
(v) Taking $6$ cm as radius, draw an arc from D and name the point of
intersection of the arc drawn in point iv, with this arc as C.
(vi) Join CD.
ABCD is the required parallelogram.

From the figure, $OE=3cm=\frac{1}{2}AB$