Question
Construct a quadrilateral $ABCD$ in which $BC = 4\ cm, CA = 5.6\ cm, AD = 4.5\ cm, CD = 5\ cm$ and $BD = 6.5\ cm$.
✓
Answer
Steps of construction:
Step $I$: Draw $BC = 4\ cm$.
Step $II$: With $B$ as the centre and radius $6.5\ cm$, draw an arc.
Step $III$: With $C$ as the centre and radius $5\ cm$, draw an arc to intersect the arc drawn in Step $II$ at $D$.
Step $IV$: With $C$ as the centre and radius $5.6\ cm$, draw an arc on the same side.
Step $V$: With $D$ as the centre and radius $4.5\ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $A$.
Step $VI$: Join $BA, AC, DA, BD$ and $CD$ to obtained the required quadrilateral.
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