Special Right Triangles Practice

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures that allow for easy calculation of side lengths. The two main types are the 45°-45°-90° triangle and the 30°-60°-90° triangle.

Front

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

Back

Front

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

Back

Front

If one leg of a 45°-45°-90° triangle is 9√2, what is the length of the hypotenuse?

Back

The hypotenuse is 18.

Front

If the short side of a 30°-60°-90° triangle is 8, what is the length of the medium side?

Back

The medium side is 8√3.

Front

If the medium side of a 30°-60°-90° triangle is 5√6, what is the length of the short side?

Back

The short side is 5√2.

Front

What is the formula to find the hypotenuse in a 45°-45°-90° triangle?

Back

Front

What is the formula to find the medium side in a 30°-60°-90° triangle?

Back

Front

What is the formula to find the short side in a 30°-60°-90° triangle?

Back

Front

In a 30°-60°-90° triangle, if the hypotenuse is 14, what is the length of the short side?

Back

The short side is 7.