Answer:
Explanation:
To complete a triangle with side lengths of 7 ft and 13 ft, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
Let x be the length of the missing side. Then, we have:
7 + 13 > x (sum of the two known sides must be greater than the missing side)
x + 7 > 13 (sum of one known side and the missing side must be greater than the other known side)
x + 13 > 7 (sum of one known side and the missing side must be greater than the other known side)
Simplifying these inequalities, we get:
20 > x
x > 6
x > -6
Therefore, the possible lengths for the missing side of the triangle are:
6 < x < 20
So, the missing side can have a length between 6 ft and 20 ft.