Question

o Watch help videoIf ST = 107, TU = 102, and W X = 51, find the length of VW. Roundyour answer to the nearest tenth if necessary. Figures are not necessarilydrawn to scale.wv59Submit AnswerAnswer: VW =attempt 1 out of 2

Answer 1

We have two triangle UTS, and WXV, they are simillar because all of their angles are equal. This is demonstrated by the fact the angle U and W are:

$\begin{gathered} \measuredangle U=180-67-54=59 \\ \measuredangle W=180-54-59=67 \end{gathered}$

This means that every corresponding sides of the triangles are related by the same constant. We can use this fact to calculate VW, as shown below:

$\begin{gathered} \frac{VW}{WX}=\frac{ST}{TU} \\ \frac{VW}{51}=\frac{107}{102} \\ VW=\frac{51\cdot107}{102} \\ VW=53.5 \end{gathered}$

The side VW has a length of 53.5