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To solve this problem of ordering the angles from smallest to largest in the triangle, we can use the fact that in any triangle, the size of an angle is directly related to the length of the opposite side. Specifically, the larger the opposite side, the larger the corresponding angle.

From the triangle in the image:
- The side opposite angle \( A \) is \( 2.3 \).
- The side opposite angle \( B \) is \( 3 \).
- The side opposite angle \( C \) is \( 2.8 \).

### Step-by-Step Reasoning:
- Angle \( A \) is opposite the shortest side, \( 2.3 \), so it will be the smallest angle.
- Angle \( C \) is opposite the middle side, \( 2.8 \), so it will be the second largest.
- Angle \( B \) is opposite the longest side, \( 3 \), so it will be the largest angle.

Thus, the angles ordered from smallest to largest are:
\[
\boxed{A, C, B}
\]

Would you like further details or have any questions?

Here are five follow-up questions to deepen understanding:
1. How can we use the Law of Sines to verify the angle sizes?
2. What is the sum of all angles in a triangle, and why does this matter?
3. How does knowing one angle's size help in determining the others in certain triangle types?
4. How does the triangle inequality theorem relate to this problem?
5. What would change in the ordering if we altered one of the side lengths?

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

Order the angles of the triangle from smallest to largest given sides of length 2.3, 2.8, and 3 units.

Learn how to order the angles of a triangle from smallest to largest based on the side lengths 2.3, 2.8, and 3 units. Understand how the size of angles is related to the length of their opposite sides in triangle geometry. Suitable for students in Grades 6-8.

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