Question
Construct a quadrilateral $ABCD$ in which $BC = 7.5\ cm, AC = AD = 6\ cm, CD = 5\ cm$ and $BD = 10\ cm$.
✓
Answer
Steps of construction:
Step $I$: Draw $AC = 6\ cm$.
Step $II$: With $A$ as the centre and radius $6\ cm$, 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 $D$ as the centre and radius $10\ cm$, draw an arc on the other side of the line segment $AC$.
Step $V$: With $C$ as the centre and radius $7.5\ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $B$.
Step $VI$: Join $BA, DA, BC$ and $CD$ to obtained the required quadrilateral.
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