Answer:
Step-by-step explanation:
From the given triangles in the picture attached,
∠A ≅ ∠X [Given]
∠B ≅ ∠Y [Given]
By AA property of similarity of the triangles, both the triangles will be similar.
ΔABC ~ ΔXZY
Similarity statement:
Corresponding sides of these similar triangles will be proportional.
[tex]\frac{XZ}{AB}= \frac{ZY}{BC}=\frac{XY}{AC}[/tex]
Similarity ratio:
[tex]\frac{XY}{AC}=\frac{24}{16}[/tex]
= [tex]\frac{3}{2}[/tex]
= 3 : 2
