30 60 90 Triangle

The 30 60 90 special right triangle is defined by the angles: 30, 60 and 90 degrees.
Figure 1: 30 60 90 Triangle

The right triangle defined by the three angles: , and is a special triangle that has meaningful properties in mathematics.

General Form

The general form of the triangle, shown below, can be given in terms of , where measures the length of the opposite side of the triangle.

General form of 30-60-90 degree triangle

Radians System

The 30-60-90 triangle measured in radians has the following measurements:

Tau 12 Triangle