https://file.aiquickdraw.com/mathbot/file/1727281606998qdoikkfy.jpg

The problem shown in the image asks:

**"У скільки разів відрізок коротший, ніж ламана?"**

This translates to: **"By how many times is the straight segment shorter than the broken line?"**

We are given two figures:
- A straight segment (a simple line).
- A broken line (a zigzag line made of three connected segments).

### Solution Approach:
1. **Assumption of equal segment lengths:**
   The broken line consists of three segments. To compare the lengths, we assume that the three segments of the broken line and the straight segment are equal in size.

2. **Comparing total lengths:**
   - The straight segment is equal to one segment.
   - The broken line consists of three segments.

Thus, the length of the broken line is **3 times** the length of the straight segment.

### Conclusion:
The straight segment is shorter by a factor of **3** compared to the broken line.

Would you like more details or have any questions? Here are some related questions you might explore:

1. How would the ratio change if the broken line had more segments?
2. Can you find a formula for comparing a straight line and any broken line of 'n' segments?
3. What would happen if the segments of the broken line were not equal in length?
4. How would the result differ if the broken line was curved instead of straight segments?
5. Can you calculate the total length of a zigzag line if each segment length and angle are known?

**Tip:** In problems like these, visualizing or sketching the situation can often make it easier to understand the relationships between different elements.

У скільки разів відрізок коротший, ніж ламана?

This problem asks by how many times a straight segment is shorter than a broken line made of three segments. Through simple geometry, we compare the total length of the broken line and the straight segment, concluding that the straight line is shorter by a factor of 3. Suitable for Grade 5-6 students.

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