We have the following:
We must calculate each of the sides with the attached image, since they are the midpoints, the value of the inside triangle (JKL) is half.
For KL
[tex]\begin{gathered} KL=\frac{YX}{2} \\ KL=\frac{56}{2} \\ KL=28 \end{gathered}[/tex]
For YZ
[tex]\begin{gathered} \frac{YZ}{2}=JK \\ YZ=38\cdot2 \\ YZ=76 \end{gathered}[/tex]
For LZ
[tex]\begin{gathered} LZ=\frac{Y\Z}{2} \\ LZ=\frac{76}{2} \\ LZ=38 \end{gathered}[/tex]
The answer is KL is 28, YZ is 76 and LZ is 38
