30-60-90 Triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 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 hypotenuse in a 30-60-90 triangle?

Back

Hypotenuse = 2 * (short leg).

Front

If the long leg of a 30-60-90 triangle is 9√3, what is the length of the hypotenuse?

Back

The hypotenuse is 18.

Front

In a 30-60-90 triangle, if the short leg is represented as 'a', what is the expression for the long leg?

Back

Long leg = a√3.

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

What is the relationship between the angles and sides in a 30-60-90 triangle?

Back

The side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is the short leg multiplied by √3.

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.