Discovering Special Triangles Post Flashcard

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles measure 45 degrees, 45 degrees, and 90 degrees. The sides are in the ratio 1 : 1 : √2.

Front

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

Back

10 cm (hypotenuse = 2 * leg).

Front

If the leg of a 45-45-90 triangle is 7 cm, what is the length of the other leg?

Back

7 cm (both legs are equal in a 45-45-90 triangle).

Front

What is the formula for the hypotenuse of a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Front

What is the formula for the longer leg of a 30-60-90 triangle?

Back

Longer leg = shorter leg × √3.

Front

What is the formula for the shorter leg of a 30-60-90 triangle?

Back

Shorter leg = hypotenuse / 2.

Front

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

Back

The angles are 30 degrees, 60 degrees, and 90 degrees.

Front

What is the relationship between the angles in a 45-45-90 triangle?

Back

The angles are 45 degrees, 45 degrees, and 90 degrees.

Front

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

Back

6 cm (shorter leg = hypotenuse / 2).