`DeltaABC` can be constructed in which `AB = 5cm, angleA = 45^(@) and BC + AC = 5cm`.

Explanation

To construct triangle \( \Delta ABC \) with the given conditions \( AB = 5 \, \text{cm} \), \( \angle A = 45^\circ \), and \( BC + AC = 5 \, \text{cm} \), we need to analyze the feasibility of the construction based on the triangle inequality theorem.

### Step-by-Step Solution:

1. **Identify the Given Information**:
- \( AB = 5 \, \text{cm} \)
- \( \angle A = 45^\circ \)
- \( BC + AC = 5 \, \text{cm} \)
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