Special Right Triangles Practice

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

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

Back

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

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

Back

8 (4 multiplied by 2).

Front

What is the formula for finding the length of the longer leg in a 30-60-90 triangle?

Back

Front

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

Back

4√3 (4 multiplied by √3).

Front

What is the Pythagorean theorem?

Back

Front

In a 45-45-90 triangle, if one leg is 10, what is the length of the hypotenuse?

Back

10√2 (10 multiplied by √2).

Front

What is the value of the hypotenuse in a 30-60-90 triangle if the longer leg is 10√3?

Back

20 (10√3 divided by √3 gives the short leg, which is 10, and then multiply by 2).

Front

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

Back