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State True/False:
Construction of quadrilateral ABCD is not possible when AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm, and AC = 11 cm.

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True

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answer is A.

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Detailed Solution

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.

∴ The construction is not possible

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