Geometry

Question Analysis

The main focus is to use the Triangle Inequality Theorem to establish inequalities based on the given side lengths of the triangle (, , and ) and then solve these inequalities to find the range of values for .

Key Concept Explanation

The Triangle Inequality Theorem states that for a triangle with side lengths , , and , the following three inequalities must hold: a + b>c, a + c>b, and b + c>a. By applying these inequalities to the side lengths of the given triangle, we can determine the valid range of