5.Is it possible to construct a quadrilateral ABCD in which AB = 5.6 cm, BC = 3.1 cm, CD = 7 cm, AD = 6 cm and AC = 11 cm. If it is not possible, then give reason. [Hint: Not possible. Since in AABC, AB + BC < AC.]
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Step-by-step explanation:
The given details are AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm and AC = 11 cm. Such a Quadrilateral cannot be constructed because, in a triangle, the sum of the length of its two sides must be greater than that of the third side.
In triangle ACD,
AD + CD = 5.5 + 3 = 8.5 cm
Given, AC = 11 cm
So, AD + CD < AC which is not possible.