Question

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if st = 62, what is uw?
v u t
w
s
uw =
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Explanation:

Step1: Identify Midsegment

From the diagram, \( U \) is the midpoint of \( VT \) (since \( VU = UT \)) and \( W \) is the midpoint of \( VS \) (since \( VW = WS \)). So, \( UW \) is the midsegment of \( \triangle VST \).

Step2: Apply Midsegment Theorem

The Midsegment Theorem states that the midsegment of a triangle is parallel to the third side and half its length. Here, the third side is \( ST \), so \( UW=\frac{1}{2}ST \).

Step3: Calculate \( UW \)

Given \( ST = 62 \), substitute into the formula: \( UW=\frac{1}{2}\times62 = 31 \).

Answer:

\( 31 \)