Question

is it possible to construct a quadrilateral in which AB = 2.5 cm, AC = 4 cm, CD is equal to 4.5 cm, DA = 5.9 cm and diagonal AC = 8 cm

if no why ?

with image​

Answer 1

Answer:

ANSWER

Given measures are

AS=3cm,BC=4cm,CD=5.4cm,DA=59cm and AC=8cm

Here, consider the triangle ABC within the quadrilateral.

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

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

Step-by-step explanation:

Answer 2

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