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The problem asks us to determine the longest side of triangle \( \triangle ABC \), where the angles are given as:

\[
\angle A = 25^\circ, \quad \angle B = 100^\circ, \quad \angle C = 55^\circ
\]

To solve this, we can use the fact that in any triangle, the longest side is opposite the largest angle.

1. \( \angle A = 25^\circ \)
2. \( \angle B = 100^\circ \)
3. \( \angle C = 55^\circ \)

Clearly, \( \angle B = 100^\circ \) is the largest angle. Therefore, the side opposite angle \( B \), which is side \( AC \), will be the longest.

**Answer:** The longest side is **AC**.

Would you like a detailed explanation of how to apply this in other problems? Here are some related questions to expand this topic:

1. How can you find the longest side of a triangle if all the side lengths are given?
2. What is the relationship between angle sizes and side lengths in a triangle?
3. How can the Law of Sines be used to find unknown sides or angles in a triangle?
4. How do we determine the type of triangle (acute, right, obtuse) using its angles?
5. What is the sum of the internal angles of any triangle, and why is it always the same?

**Tip:** In any triangle, the longest side is always opposite the largest angle!

In ΔABC, ∠A = 25°, ∠B = 100°, ∠C = 55°. Which side of the triangle would be the longest?

Discover how to determine the longest side in triangle ABC, where angles are given as 25°, 100°, and 55°. Learn about the angle-side relationship in triangles and how to apply it to solve geometry problems. Suitable for students in Grades 8-10.

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