Question
Construct a quadrilateral $ABCD$, in which $AB = BC = 3\ cm, AD = 5\ cm,$ $\angle\text{A}=90^\circ$ and $\angle\text{B}=105^\circ.$
✓
Answer
Steps of construction:
Step $I$: Draw $AB = 3\ cm$.
Step $II$: Construct $\angle\text{DAB}=90^\circ$ at $A$.
Step $III$: With $A$ as the centre and radius $5\ cm$, cut off $AD = 5\ cm$.
Step $IV$: Construct $\angle\text{ABC}=105^\circ$ at B.
Step $V$: With $B$ as the centre and radius $3\ cm$, cut off $BC = 3\ cm$.
Step $VI$: Join $CD$.
The quadrilateral so obtained is the required quadrilateral.
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