Question
Construct a quadrilateral $ABCD$ given $BC = 6.6\ cm, CD = 4.4\ cm, AD = 5.6\ cm$ and $\angle\text{C}=100^\circ$ and $\angle\text{C}=95^\circ.$

Answer



Steps of construction:
Step $I$: Draw $DC = 4.4\ cm$.
Step $II$: Construct $\angle\text{ADC}=100^\circ$ at $D$.
Step $III$: With $D$ as the centre and radius $5.6\ cm$, cut off $DA = 5.6\ cm.$
Step $IV$: Construct $\angle\text{BCD}=95^\circ$ at $C$.
Step $V$: With $C$ as the centre and radius $6.6\ cm$, cut off $CB = 6.6\ cm$.
Step $VI$​​​​​​​: Join $AB$.
The quadrilateral so obtained is the required quadrilateral.

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