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The problem asks about a triangle \( \triangle ABC \), where \( \angle A = 35^\circ \) and \( \angle B = 60^\circ \), and requires determining which side is the longest and which side is the shortest.

### Step 1: Find \( \angle C \)
Since the sum of the interior angles of a triangle is always \( 180^\circ \), we can find \( \angle C \) as follows:

\[
\angle C = 180^\circ - \angle A - \angle B = 180^\circ - 35^\circ - 60^\circ = 85^\circ
\]

### Step 2: Relationship Between Angles and Sides
In any triangle, the side opposite the largest angle is the longest, and the side opposite the smallest angle is the shortest.

- \( \angle C = 85^\circ \) is the largest angle, so the side opposite \( \angle C \) (side \( AB \)) is the longest.
- \( \angle A = 35^\circ \) is the smallest angle, so the side opposite \( \angle A \) (side \( BC \)) is the shortest.

### Conclusion:
- The longest side is \( AB \).
- The shortest side is \( BC \).

Would you like more details or have any questions? Here are 5 related questions to consider:
1. How do you calculate the remaining angle if two angles of a triangle are known?
2. What is the relationship between angles and side lengths in any triangle?
3. How can you find the length of sides if only angles are given?
4. How does the Law of Sines apply to this problem?
5. What is the sum of interior angles in a quadrilateral, and how is it different from a triangle?

**Tip:** Remember that in any triangle, the side opposite the largest angle is always the longest.

In ΔABC, if ∠A = 35° and ∠B = 60°, then which side of the triangle is longest and which side is shortest?

In this problem, we explore how to determine the longest and shortest sides of triangle ΔABC, given that ∠A = 35° and ∠B = 60°. Learn how the angle-side relationship helps solve this geometry problem.

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