Question
Construct a quadrilateral $ABCD$ given $AD = 3.5\ cm, BC = 2.5\ cm, CD = 4.1\ cm, AC = 7.3\ cm$ and $BD = 3.2\ cm$.
✓
Answer
Steps of construction:
Step I: Draw $CD = 4.1\ m$.
Step II: With $C$ as the centre and radius $7.3\ cm$, draw an arc.
Step III: With $D$ as the centre and radius $3.5\ cm$, draw an arc to intersect the arc drawn in Step $II$ at $A$.
Step IV: With $D$ as the centre and radius $3.2\ cm$, draw an arc on the other side of $AC$.
Step V: With $C$ as the centre and radius $2.5\ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $B$.
Step VI: Join $BA, DA, BC$ and $BD$ and $AC$ to obtain the required quadrilateral.
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