Question

v is the midpoint of \\(\overline{wz}\\) and x is the midpoint of \\(\overline{wy}\\). if \\(yz = 86\\), what is \\(vx\\)? \\(vx = \square\\)

Explanation:

Step1: Recall Midsegment Theorem

In a triangle, the segment connecting the midpoints of two sides is parallel to the third side and half as long. Here, \( V \) is the midpoint of \( \overline{WZ} \) and \( X \) is the midpoint of \( \overline{WY} \), so \( \overline{VX} \) is the midsegment of \( \triangle WYZ \), parallel to \( \overline{YZ} \) and \( VX=\frac{1}{2}YZ \).

Step2: Substitute \( YZ = 86 \)

Substitute \( YZ = 86 \) into the formula \( VX=\frac{1}{2}YZ \). So \( VX=\frac{1}{2}\times86 = 43 \).

Answer:

\( 43 \)