Answer:
XZ = 42
Explanation:
By the property of similar triangles,
"If two triangles are similar, their corresponding sides will be proportional."
By applying the property of similarity in ΔABC and ΔXYZ,
![(AB)/(XY)= (BC)/(YZ)= (AC)/(XZ)](https://img.qammunity.org/2022/formulas/mathematics/high-school/pyk8f8juszisdbrrha9n1u80wcmv10fhej.png)
![(4)/(24)=(8)/(48)= (7)/(XZ)](https://img.qammunity.org/2022/formulas/mathematics/high-school/4tmz1ohjjy1why2m87kaj1fkx7f2xholbi.png)
![(1)/(6)= (7)/(XZ)](https://img.qammunity.org/2022/formulas/mathematics/high-school/uzz8quxixxkez3l44inedoq7vuhg62x2j6.png)
XZ = 42
Therefore, length of unknown side XZ = 42 units.