Flashcard Practice - Special Right Triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.

Front

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

Back

Multiply the length of the short leg by 2.

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

Back

4√3.

Front

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

Back

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

Front

What is the length of the hypotenuse if the long leg is 8 in a 30-60-90 triangle?

Back

16.

Front

What are the side lengths of a 45-45-90 triangle?

Back

The sides are in the ratio 1 : 1 : √2.

Front

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

Back

Divide the length of the hypotenuse by √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 relationship between the angles and sides in a special right triangle?

Back

The angles determine the ratios of the sides.