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.
AB + AD = 6 and BC + CD = 6.5 .

Hence, BD should be less than or equal to 6.
BD = 7cm, which is not possible.

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Similar questions

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

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