30-60-90 triangle

A 30-60-90 triangle is a specific type of right triangle where one angle measures 30 degrees, another measures 60 degrees, and the right angle measures 90 degrees. The sides of this triangle have a consistent ratio: the length opposite the 30-degree angle is half the length of the hypotenuse (the longest side), while the length opposite the 60-degree angle is the hypotenuse multiplied by the square root of 3 divided by 2. This predictable ratio makes 30-60-90 triangles useful in various fields such as architecture, engineering, and trigonometry for calculations involving angles and distances.