Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm. If not why
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Answer:
No. We cannot construct this quadrilateral.
Reason:
First we have to draw ∆ABD and after that we can continue to join BC and CD.
By triangle property, sum of any two sides of a triangle is always greater than the third side. Then only we can draw a triangle.
But, in the given sum, to draw ∆ABD,
AB + AD = 3 + 6 = 9 cm which is equal to third side BD, 9 cm.
According to triangle property, third side is not grater than the sum of the other two sides.
Hence, we cannot construct ∆ as well as the quadrilateral based on the given measurements.
Answered by
1
No the given measurements can't construct a quadrilateral
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