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 sides is 1 : √3 : 2, where 1 is the short leg, √3 is the long leg, and 2 is the hypotenuse.

Front

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

Back

The long leg is 'a√3'.

Front

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

Back

The hypotenuse is '2a'.

Front

How do you find the short leg if you know the long leg in a 30-60-90 triangle?

Back

Divide the length of the long leg by √3.

Front

How do you find the hypotenuse if you know the short leg in a 30-60-90 triangle?

Back

Multiply the length of the short leg by 2.

Front

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

Back

The short leg is 5.

Front

If the long leg of a 30-60-90 triangle is 6√3, what is the length of the short leg?

Back

The short leg is 6.

Front

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

Back

Long leg = Short leg × √3.

Front

If the short leg is 4, what is the length of the hypotenuse in a 30-60-90 triangle?

Back

The hypotenuse is 8.