In the special right triangle, the 30-60-90 triangle, the angles are 30°, 60°, and 90°. What are the ratios of the sides associated with this special triangle?

1 : √3 : 2

Step-by-step explanation:

In the special right triangle, 30°-60°-90° triangle:-

Opposite side < Adjacent side < Hypotenuse.

1. The smallest side is opposite to angle 30°, also called opposite side.

2. Adjacent side is √3 times smallest side.

3. Hypotenuse is 2 times smallest side.

So the ratios of sides would be as follows:-

Opposite : Adjacent : Hypotenuse

1x : √3x : 2x

1 : √3 : 2