Is it possible to construct a triangle with lengths of its sides as given below? Give reason for your answer. ltbtgt (i) 5cm, 4cm, 9cm
(ii) 8cm, 7 cm, 4cm
(iii) 10 cm, 5 cm, 6cm
(iv) 2.5 cm, 5cm, 7 cm
(v) 3 cm, 4 cm, 8 cm

Explanation

To determine if a triangle can be constructed with given side lengths, we can use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We will check this condition for each set of side lengths provided.

### Step-by-Step Solution:

**(i) 5 cm, 4 cm, 9 cm**

1. Check the sum of the first two sides:
\(5 + 4 = 9\)
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