Special Right Triangles

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios, commonly the 45-45-90 triangle and the 30-60-90 triangle.

Front

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

Back

In a 45-45-90 triangle, the sides are in the ratio 1:1:√2.

Front

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

Back

In a 30-60-90 triangle, the sides are in the ratio 1:√3:2.

Front

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

Back

The hypotenuse is x√2.

Front

How do you find the length of the longer leg in a 30-60-90 triangle if the shorter leg is x?

Back

The longer leg is x√3.

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle if the shorter leg is x?

Back

The hypotenuse is 2x.

Front

What is the value of √(a^2 + b^2) in a right triangle?

Back

It represents the length of the hypotenuse, where a and b are the lengths of the legs.

Front

If the legs of a 45-45-90 triangle are each 10, what is the length of the hypotenuse?

Back

The hypotenuse is 10√2.

Front

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

Back

The longer leg is 5√3.

Front

What is the simplified form of √(36)?

Back

The simplified form is 6.