Geometry

Question Analysis:
This question focuses on applying the properties of isosceles triangles and the triangle - inequality theorem to find the perimeter.
The main task is to identify the correct combination of side lengths that can form a triangle.

Key Concept Explanation:
1. In an isosceles triangle, two sides are of equal length.
2. The triangle - inequality theorem is crucial for determining if a set of side lengths can form a triangle.

Step - by - Step Solution:
Case 1: Suppose the equal sides have a length of cm.
Let cm, cm, and cm.
Check the triangle - inequality: cm, and .
So, a triangle with side lengths cm, cm, and cm does not exist.
Case 2: Suppose the equal sides have a length of cm.
Let cm,

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