To determine the length of side QR in triangle PQR, we first need to apply 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.
Given the options: 8 units, 83 units, 16 units, and 163 units, we need to analyze these lengths in the context of a triangle. A triangle’s sides must also be positive numbers and must adhere to the rules of geometry.
If we consider the lengths of the other sides (let’s assume they are not provided), we cannot definitively determine the length of QR without additional information. However, if we were given the lengths of the other two sides, we could hypothesize about the maximum and minimum possible values for QR based on the constraints of the triangle inequality.
For example, if we suppose the lengths of the other two sides are also in a reasonable range (e.g., 8 and 16 units), it would limit QR accordingly to maintain the triangle’s validity, thus eliminating some options like 83 and 163 units due to excessive values. To proceed further, we would require either the lengths of sides PQ and PR or a specific context to validly select one of the proposed lengths for QR.