Final answer:
The given measurements of 10 cm, 9 cm, and 5 cm can form a triangle.
Step-by-step explanation:
To determine if the given measurements can form a triangle, we need to apply the Triangle Inequality Theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Let's apply this to the given measurements:
- 10 cm + 9 cm = 19 cm
- 10 cm + 5 cm = 15 cm
- 9 cm + 5 cm = 14 cm
Since the sum of the lengths of any two sides is greater than the length of the third side in all cases, the given measurements of 10 cm, 9 cm, and 5 cm can form a triangle.