Question

1. triangle with markings, side labeled 6, side labeled x
2. partial figure with markings

Explanation:

Step1: Identify Midsegment

The segment of length 6 is a midsegment of the triangle (since it connects midpoints, indicated by congruent marks on sides).

Step2: Apply Midsegment Theorem

The midsegment theorem states that the midsegment is half the length of the third side. So, \( 6 = \frac{x}{2} \).

Step3: Solve for \( x \)

Multiply both sides by 2: \( x = 6 \times 2 = 12 \).

Answer:

\( x = 12 \)