Special Right Triangles Review

Front

What type of special triangle is a 45°-45°-90° triangle?

Back

A special right triangle where the two legs are of equal length and the angles are 45°, 45°, and 90°.

Front

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

Back

The ratio of the sides is 1 : √3 : 2, where 1 is the length of the side opposite the 30° angle, √3 is the length of the side opposite the 60° angle, and 2 is the hypotenuse.

Front

What is the length of the hypotenuse in a 45°-45°-90° triangle if each leg is 8?

Back

The hypotenuse is 8√2.

Front

What is the length of the side opposite the 30° angle in a 30°-60°-90° triangle if the hypotenuse is 10?

Back

The length of the side opposite the 30° angle is 5.

Front

What is the length of the side opposite the 60° angle in a 30°-60°-90° triangle if the hypotenuse is 10?

Back

The length of the side opposite the 60° angle is 5√3.

Front

In a right triangle, what is the hypotenuse?

Back

The side opposite the right angle, which is the longest side of the triangle.

Front

If one leg of a 45°-45°-90° triangle is 10, what is the length of the other leg?

Back

The other leg is also 10.

Front

If the hypotenuse of a 30°-60°-90° triangle is 12, what is the length of the side opposite the 30° angle?

Back

The length of the side opposite the 30° angle is 6.

Front

What is the formula to find the length of the hypotenuse in a 30°-60°-90° triangle?

Back

Hypotenuse = 2 * (length of the side opposite the 30° angle).

Front

What is the formula to find the length of the legs in a 45°-45°-90° triangle?

Back

Leg = Hypotenuse / √2.