Answer:
yes
Step-by-step explanation:
To determine if three given lengths can form a triangle, we can use the Triangle Inequality Theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given the lengths 10cm, 5cm, and 9cm, let's check if they can form a triangle:
1. Check if 10cm + 5cm > 9cm:
This condition is met.
2. Check if 5cm + 9cm > 10cm:
This condition is met.
3. Check if 10cm + 9cm > 5cm:
This condition is also met.
Since all three conditions are satisfied, the lengths 10cm, 5cm, and 9cm can indeed form a triangle.