Question

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if sw = 86, what is tv?
tv = \square
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Explanation:

Step1: Identify Midsegment Theorem

In a triangle, the segment connecting midpoints of two sides (midsegment) is parallel to the third side and half its length. Here, \( T \) and \( V \) are midpoints (marked by congruent segments), so \( TV \) is the midsegment parallel to \( SW \).

Step2: Apply Midsegment Formula

The midsegment length is half the length of the third side. So \( TV=\frac{1}{2}SW \).
Given \( SW = 86 \), substitute: \( TV=\frac{1}{2}\times86 = 43 \).

Answer:

\( 43 \)