Final answer:
The possible length of the third side of a triangle with sides measuring 8cm and 11cm can be found using the triangle inequality theorem. The length of the third side must be greater than the sum of the lengths of the two given sides. Any value greater than 19cm would be a valid length for the third side.
Step-by-step explanation:
The possible length of the third side of a triangle with two sides measuring 8cm and 11cm can be found using 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.
In this case, the sum of the lengths of the two given sides is 8cm + 11cm = 19cm. Therefore, the possible length of the third side should be greater than 19cm. Any value greater than 19cm, such as 20cm, 25cm, or 30cm, would be a valid length for the third side of the triangle.
Learn more about Triangle Inequality Theorem