The missing lengths are:
[tex]XZ = 32[/tex], [tex]LZ = 16[/tex] and [tex]JL = 39[/tex]
How to calculate the missing side lengths
The lengths are given as:
YZ=78, JK= 16, and XY= 70
From the figure, we have the following highlights
- Point J bisects length XY
- Point K bisects length YZ
- Point L bisects length YZ
The above highlights mean that:
[tex]XZ = 2 * JK[/tex]
[tex]XZ = 2 * 16[/tex]
[tex]XZ = 32[/tex]
Also, we have:
[tex]LZ = JK[/tex]
[tex]LZ = 16[/tex]
[tex]JL = \frac{YZ}{2}[/tex]
[tex]JL = \frac{78}{2}[/tex]
[tex]JL = 39[/tex]
Hence, the missing lengths are:
[tex]XZ = 32[/tex], [tex]LZ = 16[/tex] and [tex]JL = 39[/tex]
Read more about side lengths at:
https://brainly.com/question/24487155
