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 sides in a 30-60-90 triangle?

Back

The ratio of the lengths of the sides opposite the 30°, 60°, and 90° angles is 1 : √3 : 2.

Front

If the short leg of a 30-60-90 triangle is 6, what is the length of the long leg?

Back

The long leg is 6√3.

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the short leg?

Back

The short leg is 6.

Front

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

Back

Long leg = short leg × √3.

Front

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

Back

Hypotenuse = short leg × 2.

Front

If the long leg of a 30-60-90 triangle is 10√3, what is the length of the hypotenuse?

Back

The hypotenuse is 20.

Front

If the hypotenuse of a 30-60-90 triangle is 24, what is the length of the short leg?

Back

The short leg is 12.

Front

What is the value of y if the short leg is 4 in a 30-60-90 triangle?

Back

y = 4√3.

Front

If the short leg of a 30-60-90 triangle is represented by 'n', what is the expression for the long leg?

Back

Long leg = n√3.