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

$\begin{gathered} KL=\frac{YX}{2} \\ KL=\frac{56}{2} \\ KL=28 \end{gathered}$

For YZ

$\begin{gathered} \frac{YZ}{2}=JK \\ YZ=38\cdot2 \\ YZ=76 \end{gathered}$

For LZ

$\begin{gathered} LZ=\frac{Y\Z}{2} \\ LZ=\frac{76}{2} \\ LZ=38 \end{gathered}$

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