9.2 special right 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

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

Back

Multiply the length of the short leg by 2.

Front

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

Back

Multiply the length of the short leg by √3.

Front

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

Back

The hypotenuse is 8 (4 multiplied by 2).

Front

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

Back

The long leg is 4√3.

Front

What is the short leg in a 30-60-90 triangle?

Back

The side opposite the 30-degree angle.

Front

What is the long leg in a 30-60-90 triangle?

Back

The side opposite the 60-degree angle.

Front

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

Back

The short leg is 5 (10 divided by 2).

Front

In a 30-60-90 triangle, if the hypotenuse is 10, what is the length of the long leg?

Back

The long leg is 5√3.