(d) Given, the length of two sides of a triangle are 5 cm and 1.5 cm, respectively. Let sides AB = 5 cm and CA = 1.5 cm We know that, a closed figure formed by three intersecting lines (or sides) is called a triangle, if difference of two sides < third side and sum of two sides > third side ∴ 5-1.5 < BC and 5+1.5 > BC ⇒ 3.5 < BC and 6.5 > BC Here, we see that options (a), (b) and (c) satisfy the above inequality but option (d) does not satisfy the above inequality.