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 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 a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1 : 1 : √2.

Front

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

Back

Multiply the length of the leg by √2.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

The short leg is opposite the 30-degree angle, the long leg is opposite the 60-degree angle, and the hypotenuse is twice 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

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

Back

10√2.

Front

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

Back

Hypotenuse = 2 × (short leg).

Front

If the hypotenuse of a 45-45-90 triangle is 20, what is the length of each leg?

Back

Each leg is 20/√2 or 10√2.

Front

What is the long leg in a 30-60-90 triangle if the short leg is represented by 'u'?

Back

The long leg is 'u√3'.