Geometry

Question Analysis

The main focus is to use the Hinge Theorem to determine a possible length for segment . Given two triangles with some sides marked as congruent and different included angles, we need to apply the theorem to find the appropriate range for the length of .

 

Key Concept Explanation

The Hinge Theorem states that if two sides of one triangle are congruent to two sides of another triangle, but the included angles are different, then the side opposite the larger included angle is longer.

 

Step - by - Step Solution

1. In ,  and . In , .

The sides of  and

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