Construct, if possible, a quadrilateral ABCD in which AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.3 cm and AC = 11 cm. Give reasons for not being able to construct, if you cannot.
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Answer:
Given,
AB=6 cm,BC=7 cm,CD=3 cm,AD=5.5 cm and AC=11 cm
Such a quadrilateral can not be constructed because, in a triangle, the sum of the length of its two sides must be greater than that of the third side
But here in triangle ACD,
AD+CD=5.5+3=8.5 cm
And AC=11 cm
i.e., AD+CD<AC, which is not possible.
So, the construction is not possible.
Answered by
0
Answer:
Given,
AB=6 cm,BC=7 cm,CD=3 cm,AD=5.3 cm and AC=11 cm
Such a quadrilateral can not be constructed because, in a triangle, the sum of the length of its two sides must be greater than that of the third side
But here in triangle ACD,
AD+CD=5.3+3=8.3 cm
And AC=11 cm
i.e., AD+CD<AC, which is not possible.
So, the construction is not possible.
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