Construct a quadrilateral ABCD, given that AB = 8 cm,

Steps of Construction :

Step I : Draw $\mathrm{AB}=8 \mathrm{~cm} .$

Step II : Construct $\angle \mathrm{BAD}=45^{\circ}$.

Step III : With A as the centre and radius $10 \mathrm{~cm}$, cut off AD $=10 \mathrm{~cm} .$

Step IV : With D as the centre and radius $10 \mathrm{~cm}$, draw an arc.

Step V : With B as the centre and radius $8 \mathrm{~cm}$, draw an arc to intersect the arc drawn in Step IV at C.

Step VI : Join BC and CD to obtained the required quadrilateral.