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 are the side ratios of a 45-45-90 triangle?

Back

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

Front

What are the side ratios of a 30-60-90 triangle?

Back

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

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

The length of the hypotenuse is the length of one leg multiplied by √2.

Front

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

Back

The length of the longer leg is the length of the shorter leg multiplied by √3.

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle?

Back

The length of the hypotenuse is twice the length of the shorter leg.

Front

If one leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√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

If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the shorter leg?

Back

The shorter leg is 5.

Front

What is the formula to calculate the diagonal of a square?

Back

The diagonal of a square can be calculated using the formula d = s√2, where s is the length of a side.