To determine the correct order of angles from smallest to largest in the given triangle, we will use the relationship between sides and angles of a triangle:

Key Concept:

In any triangle:

• The smallest angle is opposite the shortest side.
• The largest angle is opposite the longest side.

Given:

• Side $AB = 6.1$ (longest side)
• Side $AC = 4.3$
• Side $BC = 2.8$ (shortest side)

Opposite Angles:

• Angle $C$ is opposite side $AB = 6.1$ (largest angle).
• Angle $A$ is opposite side $BC = 2.8$ (smallest angle).
• Angle $B$ is opposite side $AC = 4.3$ (middle angle).

Order of Angles (Smallest to Largest):

1. $\angle A$ (smallest)
2. $\angle B$
3. $\angle C$ (largest)

Correct Option:

The correct answer is C: $\angle C, \angle A, \angle B$.

Would you like further clarification on the steps or a detailed explanation of how sides and angles are related?

Related Questions:

1. How do you calculate angles in a triangle using the Law of Sines?
2. What is the relationship between angles and sides in a triangle?
3. Can you use the Law of Cosines to confirm the exact measures of the angles?
4. How do you classify triangles based on side lengths and angles?
5. How do you prove a triangle's angles sum to 180°?

Tip:

Remember, the angle opposite the longest side is always the largest in a triangle!