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

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the right angle is 90 degrees. The sides are in the ratio 1:1:√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

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

Back

Multiply the length of the short leg by √3.

Front

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

Back

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

Front

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

Back

4√2.

Front

In a 30-60-90 triangle, if the short leg is 6, what is the length of the hypotenuse?

Back

12.

Front

In a 30-60-90 triangle, if the long leg is 6, what is the length of the short leg?

Back

6/√3 or 2√3.

Front

What is the formula to find the length of the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Front

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

Back

Long leg = short leg × √3.