Construct a quadrilateral ABCD in which BC = 7.5 cm,

Steps of construction:

Step I: Draw AC $=6 \mathrm{~cm} .$

Step II : With A as the centre and radius $6 \mathrm{~cm}$, draw an arc.

Step III : With C as the centre and radius $5 \mathrm{~cm}$, draw an arc to intersect the arc drawn in Step II at D.

Step IV : With D as the centre and radius $10 \mathrm{~cm}$, draw an arc on the other side of the line segment AC.

Step V : With C as the centre and radius $7.5 \mathrm{~cm}$, draw an arc to intersect the arc drawn in Step IV at B.

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