30-60-90 Triangle

The 30-60-90 triangle is a special right triangle where the acute angles are always 30 and 60 degrees.

Opposite Side

Remember you have to go directly across the triangle to identify the opposite side.

Hypotenuse

Remember the hypotenuse is always opposite the right angle and it's the LONGEST side.

Opposite/Hypotenuse

In a 30-60-90 triangle, the side opposite the 30 degree angle divided by the hypotenuse will always be .5!

Adjacent Leg

Leg of the triangle that is next to the focus angle.

Conclusion

For a 30 degree angle, the opposite side/hypotenuse will always produce the ratio .5 and the adjacent leg/hypotenuse will always produce the ratio .866.