The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

Explanation

To find the possible lengths of the third side of a triangle when the lengths of the other two sides are given, we can use the triangle inequality theorem. According to this theorem, the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the absolute difference of the lengths of the other two sides.

### Step-by-Step Solution:

1. **Identify the lengths of the two sides:**
- Let the lengths of the two sides be \( a = 12 \) cm and \( b = 15 \) cm.

2. **Apply the triangle inequality theorem:**
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