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30 60 90 Triangle

A right triangle is any triangle that has a 90-degree angle. A 30-60-90 triangle is a special type of right triangle that has a 30-degree angle and a 60-degree angle in addition to the right angle. This triangle has the angles labeled as shown in the diagram. (Source: study.com A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2. (Source:www.storyofmathematics.com))

It is a triangle where the angles are always 30, 60 and 90. As one angle is 90, so this triangle is always a right triangle. As explained above that it is a special triangle so it has special values of lengths and angles. (Source: byjus.com)

study.com)Jeanne Rast has taught Mathematics in grades 7-12 and college for over 30 years. She has a Ph.D. in Math Education and a M.Ed. in Math both from Georgia State University, as well as a B.A. in Math from The University of the South. Dr. Rast is a certified teacher for the State of Georgia for Mathematics grades 7-12 (Source:

The 30-60-90 triangle rule is for finding the the lengths of two sides when one side is given. The shorter side is opposite the 30 degree angle, the longer side is opposite the 60 degree angle, and the hypotenuse is opposite the 90 degree angle. The longer side is the square root of 3 times the shorter side, and the hypotenuse is twice the shorter side. (Source: study.com)

To find the side lengths of a 30-60-90 one side must be given. If the shorter side is given, multiply it by 2 to get the hypotenuse, and multiply it by the square root of 3 to get the longer side. If the hypotenuse is given, divide it by 2 to get the shorter side and then multiply the shorter side by the square root of 3 to get the longer side. If the longer side is given, divide it by the square root of 3 to get the shorter side, and then multiply the shorter side by 2 to get the hypotenuse. (Source: study.com)

There are different types of triangles such as obtuse, isosceles, acute, equilateral, and so on. But only a few types of triangles are considered special triangles. These triangles are special as their sides and angles are consistent and predictable. Their properties can be used to solve various geometry or trigonometry problems. A 30-60-90 triangle—pronounced "thirty sixty ninety"—is one such very special type of triangle indeed. (Source: www.cuemath.com)