Final answer:
Given two sides of a triangle, the third side must be less than the sum of those two sides and more than the absolute difference of those two sides. Therefore, the third side must be more than 3 cm and less than 25 cm.
Step-by-step explanation:
The range of the third side's length in a triangle, given the lengths of the other two sides, can be determined using the triangle inequality theorem.
According to the theorem, the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Also, the difference of the lengths of any two sides is less than the length of the third side. Therefore, in this case, the third side is less than the sum of 14 cm and 11 cm (which is 25 cm), and more than the absolute difference of 14 cm and 11 cm (which is 3 cm).
As such, the third side of the triangle must be more than 3 cm and less than 25 cm. This gives us a range of the possible measures of the third side of a triangle.
Learn more about Triangle Inequality Theorem