Answer:
XZ = 42
Step-by-step 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,
[tex]\frac{AB}{XY}= \frac{BC}{YZ}= \frac{AC}{XZ}[/tex]
[tex]\frac{4}{24}=\frac{8}{48}= \frac{7}{XZ}[/tex]
[tex]\frac{1}{6}= \frac{7}{XZ}[/tex]
XZ = 42
Therefore, length of unknown side XZ = 42 units.
