Question

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s is the midpoint of \\(\overline{rt}\\) and u is the midpoint of \\(\overline{tv}\\). if su = 6, what is rv? \\(rv = \square\\)

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, \( S \) (midpoint of \( RT \)) and \( U \) (midpoint of \( TV \)) make \( SU \) a midsegment of \( \triangle RTV \), so \( SU=\frac{1}{2}RV \).

Step2: Solve for \( RV \)

Given \( SU = 6 \), substitute into the formula: \( 6=\frac{1}{2}RV \). Multiply both sides by 2: \( RV = 6\times2 = 12 \).

Answer:

\( 12 \)