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Question

Construct a quadrilateral ABCD, when AB=3 cm,CD=3 cm,DA=7.5 cm,AC=8 cm and BD=4 cm.

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Solution

Given data:

In quadrilateral ABCD,

AB=3 cm,CD=3 cm,DA=7.5 cm,AC=8 cm

Rough diagram,


If we consider a triangle ABD from the given data, then

AB=3 cm,BD=4 cm,AD=7.5 cm
AB+BD=3+4=7 cm

However, we know that the sum of the length of two sides of a triangles in always greater than the third side.

Therefore, construction is not possible from the given data.

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