Special Right Triangles Mixed

Front

What type of special triangle has angles of 45°, 45°, and 90°?

Back

45°-45°-90° triangle

Front

What type of special triangle has angles of 30°, 60°, and 90°?

Back

30°-60°-90° triangle

Front

In a 30°-60°-90° triangle, if the length of the shorter leg is 6, what is the length of the longer leg?

Back

6√3

Front

In a 45°-45°-90° triangle, if the length of one leg is 12, what is the length of the hypotenuse?

Back

12√2

Front

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

Back

The lengths are in the ratio 1 : √3 : 2.

Front

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

Back

The lengths are in the ratio 1 : 1 : √2.

Front

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

Back

6

Front

If the hypotenuse of a 45°-45°-90° triangle is 6√2, what is the length of each leg?

Back

6

Front

What is the measure of the hypotenuse in a 30°-60°-90° triangle if the longer leg is 12?

Back

12√3

Front

In a 30°-60°-90° triangle, if the longer leg is 2√3, what is the length of the hypotenuse?

Back

4