A 30-60-90 triangle is a special type of right triangle characterized by its angles measuring 30 degrees, 60 degrees, and 90 degrees. This triangle has a unique ratio of side lengths, where the side opposite the 30-degree angle is the shortest, the side opposite the 60-degree angle is √3 times longer, and the hypotenuse (opposite the 90-degree angle) is twice the length of the shortest side. These properties make the 30-60-90 triangle useful in various applications, including geometry, trigonometry, and real-world problem-solving. Understanding this triangle helps in calculating distances, heights, and angles in construction, design, and navigation.