Is it possible to construct a triangle with length of its sides as 8 cm ,7 cm and 4 cm ? Give reason for your answer

Explanation

To determine whether it is possible to construct a triangle with sides measuring 8 cm, 7 cm, and 4 cm, 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 all three pairs of sides.

### Step-by-Step Solution:

1. **Identify the sides of the triangle**:
- Let the sides be \( a = 8 \) cm, \( b = 7 \) cm, and \( c = 4 \) cm.

2. **Check the first condition**:
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