Question
Construct a quadrilateral $ABCD$, given that $AB = 8\ cm, BC = 8\ cm, CD = 10\ cm, AD = 10 \ cm$ and $\angle\text{A}=45^\circ.$
✓
Answer
Steps of Construction:
Step $I$: Draw $AB = 8\ cm$.
Step $II$: Construct $\angle\text{BAD}=45^\circ.$
Step $III$: With $A$ as the centre and radius $10\ cm$, cut off $AD = 10\ cm$.
Step $IV$: With $D$ as the centre and radius $10\ cm$, draw an arc.
Step $V$: With $B$ as the centre and radius $8\ cm$, draw an arc to intersect the arc drawn in Step $IV$ at $C$.
Step $VI$: Join $BC$ and $CD$ to obtained the required quadrilateral.
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