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To solve this problem, we need to use the properties of triangles and their angles. In any triangle, the side lengths are directly related to the angles opposite them: the larger the angle, the longer the opposite side. 

Given in the triangle:
- Angle \( \angle d = 73^\circ \)
- Angle \( \angle f = 48^\circ \)
- The third angle, which is not marked, can be found using the fact that the sum of angles in a triangle is \(180^\circ\):
  
  \[
  \text{Third angle} = 180^\circ - 73^\circ - 48^\circ = 59^\circ
  \]

Now we relate the side lengths to the angles:
- The side opposite the largest angle (\(73^\circ\)) is the longest. This side is \(e\).
- The side opposite the smallest angle (\(48^\circ\)) is the shortest. This side is \(f\).
- The side opposite the middle angle (\(59^\circ\)) has an intermediate length. This side is \(d\).

Thus, the side lengths in order from shortest to longest are:
\[
f, d, e
\]

The correct answer is **C: f, d, e**.

Would you like a detailed explanation of how this relationship between angles and sides works?

### Related Questions
1. How can we use the Law of Sines to find the side lengths of a triangle if all angles are known?
2. What happens to the side lengths if the angles of the triangle are changed?
3. How do we classify triangles based on their angles and side lengths?
4. Can a triangle have two angles that are equal? What does that imply about the sides?
5. How do we calculate the area of a triangle given its side lengths and angles?

**Tip:** Remember, in any triangle, the side opposite the largest angle will always be the longest. This basic property is essential when comparing side lengths in triangles.

Which lists the side lengths of the triangle in order from shortest to longest?

Learn how to order the side lengths of a triangle based on its angles. This problem covers the angle-side relationship and how to apply the triangle angle sum rule. Suitable for Grades 6-8.

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