Question

In the figure shown segment mm parallel to y z what is the length of x z

Answer 1

Using the given figure, we can use the Basic Proportionality Theorem

`(2.8)/(11.2)=(3.4)/(NZ)`

Let's solve for NZ

`\begin{gathered} 2.8\cdot NZ=3.4\cdot11.2 \\ NZ=(3.4\cdot11.2)/(2.8) \\ NZ=(38.08)/(2.8) \\ NZ=13.6 \end{gathered}`

Once we have NZ length, we can find XZ using the sum of segments

`XZ=XN+NZ=3.4+13.6=17`Hence, the length of XZ is 17 centimeters.