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.

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

The ratio of the sides is 1 : √3 : 2, corresponding to the short leg, long leg, and hypotenuse respectively.

Front

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

Back

Multiply the length of the short leg by √3.

Front

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

Back

The long leg is 4√3.

Front

What is the hypotenuse of a 30-60-90 triangle if the short leg is 5?

Back

The hypotenuse is 10.

Front

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

Back

Divide the length of the long leg by √3.

Front

If the long leg of a 30-60-90 triangle is 6√3, what is the length of the short leg?

Back

The short leg is 6.

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees.

Front

What is the ratio of the sides in a 45-45-90 triangle?

Back

The ratio of the sides is 1 : 1 : √2, corresponding to the legs and hypotenuse.

Front

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

Back

Multiply the length of the leg by √2.