To solve for \( EF \), we can analyze the given segments and apply geometric reasoning.

### Given:
- \( BC = 4 \)
- \( DE = 5 \)
- \( FB = 3 \)

Assuming that these segments are part of a figure like a triangle or other geometric shapes, more specific information about their arrangement is needed. If these are parts of a triangle, we could use rules like the Pythagorean theorem or the properties of similar triangles.

Since it's not clear how these segments are arranged, could you clarify whether this is part of a triangle, trapezoid, or another geometric figure?

Would you like to clarify the setup or explore potential solutions for different cases?

### Further related questions:
1. Are \( BC \), \( DE \), and \( FB \) parts of a triangle?
2. Are these line segments connected, or are they from different triangles?
3. Should we apply the Pythagorean theorem for this problem?
4. Is \( EF \) a diagonal or a side of a polygon?
5. Are there any angles provided that could help in solving this?

**Tip**: When solving for unknown sides, knowing the type of geometric figure you're working with can guide the application of the right theorem (like Pythagoras or similar triangles).

Find EF given the values of BC, DE, and FB. This problem explores geometric reasoning and could involve triangle properties or segment addition. Suitable for students in Grades 8-10. Learn how to approach problems involving unknown line segments with step-by-step solutions.

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