Geometry

Question Analysis

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

 

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, the side opposite the larger included angle is longer.

 

Step - by - Step Solution

1. In , , and in , , and the pairs of corresponding sides are congruent (by the markings).

Since

Click "Show Answer" to reveal the answer and analysis