Question

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$\overline{wz}$ is a midsegment of $\triangle vxy$. if $wz = 43$, what is $xy$? $xy = \square$

Explanation:

Step1: Recall Midsegment Theorem

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long. So, \( WZ=\frac{1}{2}XY \).

Step2: Solve for \( XY \)

Given \( WZ = 43 \), substitute into the formula: \( 43=\frac{1}{2}XY \). Multiply both sides by 2: \( XY = 43\times2 = 86 \).

Answer:

\( 86 \)