Special Right Triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 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 a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides opposite these angles are equal.

Front

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

Back

Multiply the length of the leg by √2.

Front

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

Back

The lengths of the two legs are equal.

Front

If the length of one leg in a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Front

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

Back

The long leg is 4√3.

Front

What is the formula to find the length of the long leg in a 30-60-90 triangle?

Back

Multiply the length of the short leg by √3.

Front

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

Back

Divide the length of the hypotenuse by 2.

Front

In a 45-45-90 triangle, if the hypotenuse is 8, what is the length of each leg?

Back

Each leg is 8/√2 or 4√2.