Question
Construct a quadrilateral $ABCD$ in which $AB = 3.8\ cm, BC = 3.4\ cm, CD = 4.5\ cm, AD = 5\ cm$ and $\angle\text{B}=80^\circ.$
✓
Answer
Steps of construction:
Step $I$: Draw $AB = 3.8\ cm$.
Step $II$: Construct $\angle\text{ABC}=80^\circ.$
Step $III$: With $B$ as the centre and radius $3.4\ cm$, cut off $BC = 3.4\ cm$.
Step $IV$: With $C$ as the centre and radius $4.5\ cm$, draw an arc.
Step $V$: With $A$ as the centre and radius $5.3\ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $D$.
Step $VI$: Join $AD, BC$ and $CD$ to obtain the required quadrilateral.
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