Question

Is it possible to construct a quadrilateral ABCD in which AB = 1.5 cm, AD= 3 cm, CD = 2 cm, AC = 6.5cm, BD = 5 cm ? Give reason in support of your answer.​

Answer 1

Step-by-step explanation:

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.

Answer 2

Answer:

it is not possible

Step-by-step explanation:

ΔABD

AB = 1.5  cm

AD = 3 cm

BD = 5 cm

1.5 + 3 = 4.5 < 5

Hence AB +  AD < BD

so this triangle is not possible