Brad, Jamie, and Iris were attempting to predict which straw lengths would create a triangle. The straws they are using are number 1 - 5 (shown in the picture) and their lengths are labeled in centimeters. Which student did NOT predict correctly?
We need to check whether each student's prediction follows the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
Checking each student's predictions:
- Brad predicted that straws 2, 3, and 4 would create a triangle. This is correct, because for any two of those straws, the sum of their lengths is greater than the length of the remaining straw.
- Jamie predicted that straws 1, 3, and 4 would create a triangle. This is correct, because for any two of those straws, the sum of their lengths is greater than the length of the remaining straw.
- Iris predicted that straws 1, 2, and 5 would create a triangle. This is incorrect, because the sum of the lengths of straws 1 and 2 is equal to the length of straw 5, so they cannot form a triangle.
Therefore, Iris did NOT predict correctly.