Question
Construct a quadrilateral $ABCD$ in which $AB = BC = 3\ cm, AD = CD = 5\ cm$, and $\angle\text{B}=120^\circ.$
✓
Answer
Steps of construction:
Step $I$: Draw $AB = 3\ cm.$
Step $II$: Construct $\angle\text{ABC}=120^\circ.$
Step $III$: With $B$ as the centre and radius $3\ cm$, cut off $BC = 3\ cm$.
Step $IV$: With $C$ as the centre and radius $5\ cm$, draw an arc.
Step $V$: With $A$ as the centre and radius $5\ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $D$.
Step $VI$: Join $AD$ and $CD$ to obtain the required quadrilateral.
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