Question

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm. If not why

Answer 1

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.

Answer 2

No the given measurements can't construct a  quadrilateral