Question
Construct a quadrilateral $ABCD$ in which $AB = 3.8\ cm, BC = 3.0\ cm, AD = 2.3\ cm, AC = 4.5\ cm$ and $BD = 3.8\ cm$.
✓
Answer
Steps of construction:
Step $I$: Draw $AC = 6\ cm$.
Step $II$: With A as the centre and radius $3.8\ cm$, draw an arc.
Step $III$: With $C$ as the centre and radius $3.0\ cm$, draw an arc to intersect the arc drawn in Step $II$ at $B$.
Step $IV$: With $B$ as the centre and radius $3.8\ cm$, draw an arc on the other side of $AC$.
Step $V$: With A as the centre and radius $2.3\ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $D$.
Step $VI$: Join $BA, DA, BC$ and $CD$ to obtain the required quadrilateral.
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