Construct a kite ABCD in which AB = 4 cm,

Question:

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

Solution:

Steps of construction:

Step I : Draw AC $=7.2 \mathrm{~cm}$.

Step II : With A as the centre and radius $4 \mathrm{~cm}$, draw arcs on both sides of the line segment AC.

Step III : With C as the centre and radius $4.9 \mathrm{~cm}$, 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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