30-60-90 Triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees.

Front

What is the ratio of the lengths of the sides in a 30-60-90 triangle?

Back

The ratio is 1 : √3 : 2, corresponding to the short leg, long leg, and hypotenuse respectively.

Front

If the short leg of a 30-60-90 triangle is x, what is the length of the long leg?

Back

The long leg is x√3.

Front

If the short leg of a 30-60-90 triangle is x, what is the length of the hypotenuse?

Back

The hypotenuse is 2x.

Front

Find the length of the short leg if the hypotenuse is 12 in a 30-60-90 triangle.

Back

The short leg is 6.

Front

Find the length of the long leg if the short leg is 4 in a 30-60-90 triangle.

Back

The long leg is 4√3.

Front

What is the length of the hypotenuse if the long leg is 10√3 in a 30-60-90 triangle?

Back

The hypotenuse is 20.

Front

In a 30-60-90 triangle, if the hypotenuse is 16, what is the length of the short leg?

Back

The short leg is 8.

Front

If the long leg of a 30-60-90 triangle is 3√3, what is the length of the short leg?

Back

The short leg is 3.

Front

What is the formula to find the length of the hypotenuse in a 30-60-90 triangle?

Back

Hypotenuse = 2 * (short leg).