Special Right Triangles

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the two legs are of equal length and the angles are 45°, 45°, and 90°.

Front

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

Back

The length of the hypotenuse is equal to the length of a leg multiplied by √2.

Front

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

Back

The length of the other leg is the same as the known leg.

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30°, 60°, and 90°.

Front

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

Back

The length of the short leg is x, the length of the long leg is x√3, and the hypotenuse is 2x.

Front

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

Back

Divide the length of the long leg by √3.

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

Back

The hypotenuse is twice the length of the short leg.

Front

If the short leg of a 30-60-90 triangle is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 10.

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the short leg?

Back

The short leg is 6.