In the adjoining figure, measure the lengths of the sides of the triangle ABC and verify:

(i) AB + BC > AC

(ii) BC + AC > AB

(iii) AC + AB > BC

On measuring the sides of triangle ABC with the help of a ruler, we get:

AB = 4.5 cm, BC = 5 cm, AC = 3.5 cm

(i) AB + BC = 4.5 cm + 5 cm = 9.5 cm

Since 9.5 cm > 3.5 cm,

∴ AB + BC > AC is verified.

(ii) BC + AC = 5 cm + 3.5 cm = 8.5 cm

Since 8.5 cm > 4.5 cm,

∴ BC + AC > AB is verified.

(iii) AC + AB = 3.5 cm + 4.5 cm = 8 cm

Since 8 cm > 5 cm,

∴ AC + AB > BC is verified.