Question:
Draw a rhombus whose side is 7.2 cm and one angle is 60°.
Solution:
Steps of construction:
Step1: Draw $A B=7.2 \mathrm{~cm}$
Step2: Draw $\angle A B Y=60^{\circ}$
$\angle B A X=120^{\circ}$
Sum of the adjacent angles is 180°
$\angle B A X+\angle A B Y=180^{\circ}$
$=>\angle B A X=180^{\circ}-60^{\circ}=120^{\circ}$
Step 3:
Set off $A D(7.2 \mathrm{~cm})$ along $A X$ and $B C(7.2 \mathrm{~cm})$ along $B Y$.
Step 4: Join $C$ and $D$.
Then, ABCD is the required rhombus.