In Figure the line segment XY is parallel to side AC of `DeltaA B C`and it divides the triangle into two parts of equal areas. Find the ratio `(A X)/(A B)`.

Explanation

To solve the problem, we need to find the ratio \( \frac{AX}{AB} \) given that the line segment \( XY \) is parallel to side \( AC \) of triangle \( ABC \) and divides the triangle into two parts of equal areas.

### Step-by-Step Solution:

1. **Understanding the Given Information**:
- We have triangle \( ABC \).
- Line segment \( XY \) is parallel to side \( AC \).
- The area of triangle \( XYB \) is equal to the area of triangle \( XYC \).
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