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

Question

asked Apr 22, 2023 192k views

1 Answer

Swapnil · Answer 1 · 2023-04-28T07:47:08+0000

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