Special Right 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. The sides are in the ratio 1 : √3 : 2.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, if the length of the short leg (opposite the 30° angle) is 'x', then the length of the long leg (opposite the 60° angle) is 'x√3' and the hypotenuse (opposite the 90° angle) is '2x'.

Front

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

Back

The short leg is 6 (since it is half of the hypotenuse).

Front

If the short leg of a 30-60-90 triangle is 5, what is the length of the long leg?

Back

The long leg is 5√3.

Front

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

Back

Hypotenuse = 2 * (length of the short leg).

Front

In a 30-60-90 triangle, if the long leg is 10√3, what is the length of the short leg?

Back

The short leg is 10.

Front

What is the length of the hypotenuse if the long leg of a 30-60-90 triangle is 15√3?

Back

The hypotenuse is 30.

Front

How do you find the length of the long leg 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 8, what is the length of the hypotenuse?

Back

The hypotenuse is 16.

Front

What is 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.