Question

triangle $uvw$ is formed by connecting the mid - points of the side of triangle $rst$. the lengths of the sides of triangle $rst$ are shown. what is the length of $overline{wv}$? figures not necessarily drawn to scale.

Explanation:

Step1: Recall mid - point theorem

The line segment joining the mid - points of two sides of a triangle is parallel to the third side and half its length.

Step2: Identify relevant sides

In \(\triangle RST\), \(WV\) is formed by connecting mid - points of two sides and is parallel to side \(RT\). The length of \(RT = 12\).

Step3: Calculate length of \(WV\)

By the mid - point theorem, \(WV=\frac{1}{2}RT\). Substituting \(RT = 12\), we get \(WV=\frac{12}{2}=6\).

Answer:

6