Final answer:
To verify if the given sides form a triangle, we need to check if the sum of the two shorter sides is greater than the longest side. The sides (i) AB = 5.5cm, BC = 4cm, AC = 8cm do not form a triangle because the sum of the two shorter sides is not greater than the longest side. The sides (ii) PQ = 4.5cm, QR = 6.5cm, PR = 8cm do form a triangle because the sum of the two shorter sides is greater than the longest side.
Step-by-step explanation:
To verify if the given sides form a triangle, we need to check if the sum of the two shorter sides is greater than the longest side. Let's examine the given sides:
AB = 5.5cm, BC = 4cm, AC = 8cm
Sum of the two shorter sides: AB + BC = 5.5cm + 4cm = 9.5cm
The longest side: AC = 8cm
Since the sum of the two shorter sides is not greater than the longest side, these sides do not form a triangle.
PQ = 4.5cm, QR = 6.5cm, PR = 8cm
Sum of the two shorter sides: PQ + QR = 4.5cm + 6.5cm = 11cm
The longest side: PR = 8cm
Since the sum of the two shorter sides is greater than the longest side, these sides do form a triangle.