Final answer:
To form a triangle, the sum of any two sides must be greater than the length of the third side. Only the combination of measurements 41m, 30m, and 15m satisfies this condition.
Step-by-step explanation:
In order for a combination of measurements to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Let's analyze each option: a. 41m, 30m, 15m - The sum of 41m and 30m is 71m, which is greater than 15m. This combination can form a triangle.
b. 8m, 10m, 20m - The sum of 8m and 10m is 18m, which is less than 20m. This combination cannot form a triangle.c. 25m, 25m, 75m - The sum of 25m and 25m is 50m, which is less than 75m. This combination cannot form a triangle.d. 8m, 2.5m, 2.5m - The sum of 8m and 2.5m is 10.5m, which is greater than 2.5m but less than 8m. This combination cannot form a triangle.Therefore, the combination of measurements that could form a triangle is option a. 41m, 30m, 15m.