Special Right Triangles

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the two legs are of equal length and the angles are 45°, 45°, and 90°.

Front

How do you find the length of a leg in a 45-45-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse 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 if the long leg is known?

Back

Multiply the length of the long leg by 2.

Front

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

Back

The short leg is 6/√3 or 2√3.

Front

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

Back

The hypotenuse is 8.

Front

In a 45-45-90 triangle, if one leg is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Front

What is the long leg in a 30-60-90 triangle if the short leg is 5?

Back

The long leg is 5√3.

Front

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

Back

Divide the length of the hypotenuse by 2.

Front

What is the relationship between the legs in a 45-45-90 triangle?

Back

The lengths of the legs are equal.