A quadrilateral ABCD is to be constructed with AB = 2 cm, BC = 3.5 cm, CD = 3 cm and DA = 4 cm. Which of the following value given for BD is not possible?

3 cm

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7 cm

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5 cm

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4 cm

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Solution

The correct option is B 7 cm
Since one side of a triangle cannot be greater than the sum of the other two sides.

Thus, the diagonal BD must be smaller than the sum of AB + AD and smaller than the sum of BC + CD.
Now, AB + AD = 6 cm and BC + CD = 6.5 cm.

Hence, BD should be less than 6 cm.
So, BD = 7 cm is not possible.

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