Question
Construct a quadrilateral $ABCD$ in which $AB = BC = 3.5\ cm, AD = CD = 5.2\ cm$ and $\angle\text{ABC}=120^\circ.$
✓
Answer
Steps of construction:
Step 1: Draw $AB = 3.5\ cm.$
Step 2: Make $\angle\text{ABC}=120^\circ.$
Step 3: With $B$ as the centre, draw an arc $3.5\ cm$ and name that point $C.$
Step 4: With $C$ as the centre, draw an arc $5.2\ cm.$
Step 5: With $A$ as the centre, draw another arc $5.2\ cm,$ cutting the previous arc at $D.$
Step 6: Join $CD$ and $AD.$
Thus, $ABCD$ is the required quadrilateral.
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