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 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

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 measure 45 degrees, 45 degrees, and 90 degrees. The sides are in the ratio 1 : 1 : √2.

Front

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

Back

Divide the length of the hypotenuse by √2.

Front

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

Back

If the short leg is 'x', the long leg is 'x√3', and the hypotenuse is '2x'.

Front

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

Back

If the length of each leg is 'x', the hypotenuse is 'x√2'.

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

If the hypotenuse of a 45-45-90 triangle is 14, what is the length of each leg?

Back

7√2.

Front

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

Back

Hypotenuse = 2 * (short leg).