No, it is not possible to have a triangle with sides measuring 4cm, 5cm, and 9cm.
Here's why:
The Triangle Inequality Theorem
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side.
Let's test this with our given sides:
- 4cm + 5cm = 9cm: This is equal to the third side, not greater.
Since the sum of the two shorter sides is not greater than the longest side, the given measurements do not satisfy the Triangle Inequality Theorem. Therefore, these sides cannot form a triangle.
In conclusion, a triangle cannot be formed with sides measuring 4cm, 5cm, and 9cm.
