Question
Construct a kite $ABCD$ in which $AB = 4\ cm, BC = 4.9\ cm$ and $AC = 7.2\ cm$.

Answer


Steps of construction:
Step $I$: Draw $AC = 7.2\ cm$.
Step $II$: With $A$ as the centre and radius $4\ cm$, draw arcs on both sides of the line segment $AC$.
Step $III$: With $C$ as the centre and radius $4.9\ cm$, draw arcs on both sides of $AC$ intersecting the previous arcs of step $II$ at $B$ and $D$.
Step $IV$: Join $BA, DA, BC$ and $CD$. Thus, the quadrilateral $ABCD$ so obtained is the required kite.

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