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Construct a quadrilateral ABCD; if:

AB = 6 cm = AC, BC = 4 cm, CD = 5 cm and AD = 4.5 cm.

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#### Solution

The rough figure is as shown below.

The actual quadrilateral is constructed as follows with the help of the above rough figure.

Steps :

- Draw AB = 6 cm.
- From A and B, draw arcs of radii 6 cm and 4 cm which cut at C.
- From A and C, draw arcs of radii 4.5 cm and 5 cm respectively which intersect at D.
- Join BC, CD, and DA. Thus ABCD is the required quadrilateral.

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