Math, asked by dhanishshukla0, 1 month ago

Is it possible to draw a quadrilateral ABCD with given specifications?

AB = 3 cm, AD = 4 cm, BD = BC = 7 cm and AC = 8 cm

If yes, construct the quadrilateral and if not, explain the reason.​

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Answered by 9856183008
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Given measures are

AB=3 cm,BC=4 cm,CD=5.4 cm,DA=5.9 cm and AC=8 cm

Here, consider the △ABC within the quadrilateral.

AB+BC=3+4=7 cm and AC=8 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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