9.5 45-45-90 FLASHCARDS (optional Practice)

Front

What is the length of the hypotenuse in a 45-45-90 triangle if each leg is 5?

Back

5√2

Front

If the diagonal of a square is 9√2 feet, what is the length of each side?

Back

9 feet

Front

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

Back

Divide by √2

Front

In a 30-60-90 triangle, how do you find the hypotenuse if you are given the short leg?

Back

Multiply by 2

Front

What is the length of the leg in a 45-45-90 triangle if the hypotenuse is 11√2?

Back

11

Front

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

Back

The legs are equal in length.

Front

What is the formula for finding the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2

Front

If the hypotenuse of a 45-45-90 triangle is 10, what is the length of each leg?

Back

5√2

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 length of the long leg in a 30-60-90 triangle if you are given the short leg?

Back

Multiply by √3