Question
Draw a rhombus whose side is $7.2\ cm$ and one angle is $60^\circ .$
✓
Answer
Steps of construction:
Step 1: Draw $AB = 7.2\ cm.$
Step 2: Draw
$\angle\text{ABY}=60^\circ$
$\angle\text{BAX}=120^\circ$
Sum of the adjacent angles is $180^\circ .$
$\angle\text{BAX}+\angle\text{ABY}=180^\circ$
$\Rightarrow\angle\text{BAX}=180^\circ-60^\circ=120^\circ$
Step 3:
Set off $AD (7.2\ cm)$ along $AX$ and $BC (7.2\ cm)$ along $BY.$
Step 4: Join $C$ and $D.$
Then, $ABCD$ is the required rhombus.
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