Verified answer

No, it is not possible to construct a triangle ABC with the given side lengths of AB = 5 cm, BC = 3 cm, and AC = 8 cm.

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, let's check the conditions:

- AB + BC = 5 cm + 3 cm = 8 cm

- BC + AC = 3 cm + 8 cm = 11 cm

- AC + AB = 8 cm + 5 cm = 13 cm

Since BC + AC (11 cm) is not greater than AB (5 cm), the given side lengths do not satisfy the triangle inequality theorem. Therefore, it is not possible to construct a triangle with these side lengths.

pls mark me as brainlist

Answer:

Step-by-step explanation:

first check is it collinear

to find it

AC = AB + BC

AC = 5 + 3

AC = 8
8=8

since LHS = RHS

it is a collinear line

if any line is collinear it is not triangle

here is figure