is it possible to construct a quadrilateral ABCD in which AB =3cm, BC =4cm, CD =5.5cm ,DA =6cm and BD =9cm? if not give the reason.
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Answer:
Given measures are
AB=3 cm,BC=4 cm,CD=5.5 cm,DA=6 cm and AC=9 cm
Here, consider the △ABC within the quadrilateral.
AB+BC=3+4=7 cm and AC=9 cm
i.e., the sum of two sides of a triangle is less than the third side, which is absurd.
Hence, we cannot construct such a quadrilateral.
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