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2. (there is a triangle with a line segment inside, some congruency mar…

Question

2.
(there is a triangle with a line segment inside, some congruency marks on the sides, a side labeled 32, and a segment labeled x)

Explanation:

Step1: Identify Midline Theorem

The triangle has a segment (marked \( x \)) connecting midpoints (since sides are bisected, as shown by tick marks). By the Midline Theorem, the midline is half the length of the third side.

Step2: Apply Midline Theorem

Third side length is 32. So, \( x=\frac{32}{2}=16 \).

Answer:

\( x = 16 \)