Question

Question was provided via image upload.

Explanation:

Identify corresponding sides of similar triangles

Using the Triangle Similarity Statements knowledge point

$$ \Delta AXY \sim \Delta ABC \implies \frac{AX}{AB} = \frac{AY}{AC} = \frac{XY}{BC} $$

Solve for the target segment length

Using the Similar Triangles Applications knowledge point

$$
LATEXBLOCK0
$$

Answer:

The length of segment \(AB\) can be determined using the expression:

$$AB = \frac{AX \cdot AC}{AY}$$