Question:
Construct a kite ABCD in which AB = 4 cm, BC = 4.9 cm and AC = 7.2 cm.
Solution:
Steps of construction:
Step I : Draw AC $=7.2 \mathrm{~cm}$.
Step II : With A as the centre and radius $4 \mathrm{~cm}$, draw arcs on both sides of the line segment AC.
Step III : With C as the centre and radius $4.9 \mathrm{~cm}$, draw arcs on both sides of AC intersecting the previous arcs of step II at B and D.
Step IV : Join BA, DA, BC and CD
Thus, the quadrilateral ABCD so obtained is the required kite.