The best conclusion for Ashlee to make is (c) Ashlee determined that the box must be less than 15 feet by verifying the triangle inequality theorem.
How to determine the maximum lengths?
The side lengths of the triangle are given as:
6 feet and 9 feet
Let the third side be x.
By triangle inequality theorem, we have:
a + b > c
So, we have
6 + 9 > x
6 + x > 9
9 + x > 6
Evaluate the inequalities
15 > x
x > 3
x > -3
Remove the negative inequality
15 > x
x > 3
Combine the inequalities
3 < x < 15
So, the maximum side is less than 15
Hence, the best conclusion for Ashlee to make is (c) Ashlee determined that the box must be less than 15 feet by verifying the triangle inequality theorem.
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