Flashcard Practice - 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 the legs in a 45-45-90 triangle?

Back

The lengths of the legs are equal.

Front

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

Back

The hypotenuse is √2 times the length of each leg.

Front

What is a 30-60-90 triangle?

Back

A special right triangle with angles of 30°, 60°, and 90°.

Front

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

Back

The short leg is half the length of the hypotenuse.

Front

What is the relationship between the short leg and the long leg in a 30-60-90 triangle?

Back

The long leg is √3 times the length of the short leg.

Front

If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the short leg?

Back

5 (the short leg is half the hypotenuse).

Front

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

Back

4√3 (the long leg is √3 times the short leg).

Front

What is the formula to find the hypotenuse in a 30-60-90 triangle if the long leg is known?

Back

Hypotenuse = Long leg / √3 * 2.

Front

In a 45-45-90 triangle, if one leg is 7, what is the length of the hypotenuse?

Back

7√2 (the hypotenuse is √2 times the length of a leg).