Special Right Triangles

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are 45°, 45°, and 90°. The legs are of equal length, and the hypotenuse is √2 times the length of a leg.

Front

How do you find the hypotenuse in a 45-45-90 triangle?

Back

Multiply the length of a leg by √2.

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

The ratio is 1 : √3 : 2, where 1 is the length of the short leg, √3 is the length of the long leg, and 2 is the length of the hypotenuse.

Front

How do you find the hypotenuse in a 30-60-90 triangle?

Back

Multiply the length of the short leg by 2.

Front

What is the length of the long leg in a 30-60-90 triangle if the short leg is 4?

Back

The long leg is 4√3.

Front

What is the length of the hypotenuse in a 30-60-90 triangle if the short leg is 6?

Back

The hypotenuse is 12.

Front

In a 45-45-90 triangle, if one leg is 8, what is the length of the hypotenuse?

Back

The hypotenuse is 8√2.

Front

What is the short leg in a 30-60-90 triangle if the long leg is 6√3?

Back

The short leg is 6.

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 legs in a 45-45-90 triangle?

Back

The legs are equal in length.