Question

find yz.
yz = \boxed{}

Explanation:

Step1: Identify Midsegments

The diagram shows midsegments (marked by red ticks) on the sides, so \( Z \) and \( W \) are midpoints. Thus, \( YZ \) is half of \( YA \) (by Midsegment Theorem or Midpoint Definition).

Step2: Calculate \( YZ \)

Given \( YA = 42 \), since \( Z \) is the midpoint, \( YZ=\frac{1}{2}YA \). Substitute \( YA = 42 \): \( YZ=\frac{42}{2}=21 \).

Answer:

\( 21 \)