The side ration of a 30-60-90 triangle is …
1 : √3 : 2
The side ratio of a 30-60-90 triangle is 1:√3:2.
In a 30-60-90 triangle, the smaller angle is 30 degrees, and the larger angle is 60 degrees. The length of the side opposite the 30-degree angle is half the length of the hypotenuse, while the length of the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle. Finally, the hypotenuse is twice the length of the side opposite the 30-degree angle.
So, for any 30-60-90 triangle, if we know one of the side lengths, we can quickly determine the length of the other sides using this ratio. For example, if we know that the shorter leg of the triangle is 2, then the longer leg is 2√3, and the hypotenuse is 4.
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