Question
Construct a quadrilateral $ABCD$ such that $AB = BC = 5.5\ cm CD = 4\ cm , DA = 6.3\ cm $ and $AC = 9.4\ cm $ Measure $BD$.
✓
Answer
Steps of construction:
Step $I$: Draw $AB = 5.5\ cm$
Step $II$: With $B$ as the centre and radius $BC = 5.5\ cm$, draw an arc.
Step $III$: With $A$ as the centre and radius $AC = 9.4\ cm$, draw an arc to intersect the arc drawn in Step $II$ at $C$.
Step $IV$: With $C$ as the centre and radius $CD = 4\ cm$, draw an arc.
Step $V$: With $A$ as the centre and radius $AD = 6.3 \ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $D$.
Step $VI$: Join $DA, BC, AC$ and $CD$.
The quadrilateral $ABCD$ so obtained is the required quadrilateral.
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