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This question involves the relationship between the angles and sides of a triangle based on the angle-side inequality theorem.

### Given:
- Triangle \( \triangle ABC \), with angle measures \( \angle C < \angle B < \angle A \).

### Key Concept:
In a triangle, **the larger the angle, the longer the side opposite to it**. This means that the side opposite the largest angle will be the longest, and the side opposite the smallest angle will be the shortest.

### Applying to \( \triangle ABC \):
- \( \angle C < \angle B < \angle A \)
  - Since \( \angle C \) is the smallest, the side opposite \( \angle C \) (which is \( AB \)) will be the shortest.
  - \( \angle A \) is the largest, so the side opposite \( \angle A \) (which is \( BC \)) will be the longest.
  - \( \angle B \) is in the middle, so the side opposite \( \angle B \) (which is \( AC \)) will have a length between \( AB \) and \( BC \).

Thus, the order of the sides will be:
\[
AB < AC < BC
\]

### Correct Answer:
The second option: **AC < AB < BC**

Would you like more details or have any questions? 

Here are 5 related questions:
1. What is the angle-side relationship theorem in triangles?
2. Can the triangle inequality theorem be applied to this problem?
3. How can we prove that \( AB < AC < BC \) using the Law of Sines?
4. What happens if two angles are equal in a triangle? How does this affect the side lengths?
5. How do angle bisectors affect side length comparisons in a triangle?

**Tip:** Always remember that in a triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle.

In triangle ABC, if m∠C < m∠B < m∠A, then which of the following is true?

Explore how angle-side relationships apply in triangle ABC where m∠C < m∠B < m∠A. Learn how the Angle-Side Inequality Theorem determines the order of side lengths in this type of triangle. This problem is suitable for students in Grades 8-10.

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