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

Answer

If we consider a triangle ABD from the given data, then
AB = 3cm
BD = 4cm
AD = 7.5cm
AB + BD = 3 + 4 = 7cm
However, we know that the sum of the lengths of two sides of a triangle is always greater than the third side.
Therefore, construction is not possible from the given data.

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