Question

I don’t understand any of this

Answer 1

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.

`(XZ)/(AB)= (ZY)/(BC)=(XY)/(AC)`

Similarity ratio:

`(XY)/(AC)=(24)/(16)`

=
`(3)/(2)`

= 3 : 2