Short Answer 
The answer explains how to identify the three sides of a right-angled triangle: the hypotenuse (opposite the right angle), the adjacent side (next to the right angle), and the opposite side (across from the chosen angle). It emphasizes the importance of these distinctions for solving trigonometric problems.
Step 1: Understand Triangle Sides
In a right-angled triangle, you need to identify the three sides, which are defined relative to the right angle. The side that is opposite to the right angle is specifically known as the hypotenuse. Understanding which side is which is crucial for solving problems related to right triangles.
Step 2: Identify the Opposite and Adjacent Sides
To effectively work with a right triangle, you must also identify the opposite and adjacent sides. The side that is adjacent to the right angle is referred to as the adjacent side, while the side directly opposite the angle you are focusing on is the opposite side. This distinction is vital in trigonometry.
Step 3: Example Identification
Consider a right triangle with sides labeled a, b, and c. Here, you can analyze the sides in the following way:
- Both a and b are the adjacent sides.
- Side c is the opposite side to the right angle.
- Side c is also the hypotenuse of the triangle.