Flashcard Practice - Special Right Triangles

Front

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

Back

1 : √3 : 2 (short leg : long leg : hypotenuse)

Front

How do you find the hypotenuse if you have the long leg in a 30-60-90 triangle?

Back

Divide the long leg by √3, then multiply that answer by 2.

Front

What is the length of the legs in a 45-45-90 triangle?

Back

Both legs are equal in length.

Front

What is the ratio of the sides in a 45-45-90 triangle?

Back

1 : 1 : √2 (leg : leg : hypotenuse)

Front

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

Back

Use the same length for the second leg.

Front

If the hypotenuse of a 45-45-90 triangle is 5√2, what is the length of each leg?

Back

Each leg is 5.

Front

How do you find the short leg if you have the long leg in a 30-60-90 triangle?

Back

Divide the long leg by √3.

Front

If the long leg of a 30-60-90 triangle is 8, what is the hypotenuse?

Back

The hypotenuse is 16/√3 or approximately 9.24.

Front

What are the values of x and y in a 30-60-90 triangle if x = 6?

Back

x = 6, y = 3√3.

Front

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

Back

Hypotenuse = Long leg × 2/√3.