Question

Question 8
Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be
(A) 3.6 cm
(B) 4.1 cm
(C) 3.8 cm
(D) 3.4 cm

Answer 1

Given, the length of two sides of a triangle is 5 cm and 1.5cm, 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
$\therefore 5-1.5<BC$ and 5 +1.5 > BC
$\Rightarrow 3.5<BC$ and 5.5 > BC
Here, we see that options (a) (b) and (c) satisfy the above inequaulity but option (d) does not satisfy the inequality.