Question

In the figure below, points J, K, and L are the midpoints of the sides of XYZ. Suppose JK = 38, XZ = 96, and YX = 56. Find the following lengths KL, YZ and LZ

Answer 1

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

`\begin{gathered} KL=(YX)/(2) \\ KL=(56)/(2) \\ KL=28 \end{gathered}`

For YZ

`\begin{gathered} (YZ)/(2)=JK \\ YZ=38\cdot2 \\ YZ=76 \end{gathered}`

For LZ

`\begin{gathered} LZ=(Y\Z)/(2) \\ LZ=(76)/(2) \\ LZ=38 \end{gathered}`

The answer is KL is 28, YZ is 76 and LZ is 38