Final answer:
To find the possible side lengths of the third side of a triangle, you need to apply the rule that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, the possible side lengths of the third side are 41 inches and -41 inches.
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Therefore, to find the possible side lengths of the third side, we need to apply this rule.
In this case, the first side measures 48 inches and the second side measures 7 inches. So, the possible side lengths of the third side can be found by subtracting the length of the second side from the length of the first side, and vice versa:
Possible Lengths of Third Side:
48 - 7 = 41 inches
7 - 48 = -41 inches.