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 a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides opposite these angles are equal. The sides are in the ratio 1 : 1 : √2.

Front

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

Back

Front

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

Back

Front

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

Back

Front

In a 45-45-90 triangle, if the length of one leg is 'a', what is the length of the hypotenuse?

Back

Front

In a 45-45-90 triangle, if the hypotenuse is 'h', what is the length of one leg?

Back

Front

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

Back

The sides are in the ratio 1 (short leg) : √3 (long leg) : 2 (hypotenuse).

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

The sides are in the ratio 1 (each leg) : 1 (each leg) : √2 (hypotenuse).

Front

If the long leg of a 30-60-90 triangle is 4√3, what is the length of the short leg?

Back

The short leg is 4.