Question

in the figure below, points J, K, and L are the midpoints of the sides of XYZ. suppose YZ =76, JK =12, and XY =68. find the following lengths. JL, XZ, and LZ

Answer 1

Given data:

The first length given is YZ =76.

The second length given is JK =12.

The third length given is XY=68.

The JL length is,

`\begin{gathered} JL=(1)/(2)(YZ) \\ =(1)/(2)(76) \\ =38 \end{gathered}`

The XZ length is,

`\begin{gathered} XZ=2(JK) \\ =2(12) \\ =24 \end{gathered}`

The LZ length is,

`\begin{gathered} LZ=(1)/(2)(XZ) \\ =(1)/(2)(24) \\ =12 \end{gathered}`

Thus, JL=38, XZ=24, and LZ=12.