Special Right Triangles

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 30°-60°-90° triangle and the 45°-45°-90° triangle.

Front

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

Back

In a 30°-60°-90° triangle, the ratios of the lengths of the sides opposite the 30°, 60°, and 90° angles are 1 : √3 : 2.

Front

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

Back

Front

How do you find the length of the long leg in a 30°-60°-90° triangle if the short leg is known?

Back

Front

If the short leg of a 30°-60°-90° triangle is 4, what is the length of the long leg?

Back

Front

What is the measure of the angles in a 30°-60°-90° triangle?

Back

The angles are 30°, 60°, and 90°.

Front

What is the measure of the angles in a 45°-45°-90° triangle?

Back

The angles are 45°, 45°, and 90°.

Front

How do you find the hypotenuse in a 45°-45°-90° triangle if the leg length is known?

Back

Front

If the legs of a 45°-45°-90° triangle are each 2, what is the length of the hypotenuse?

Back

Front

What type of triangle is a 30°-60°-90° triangle?

Back

It is a special right triangle with angles measuring 30°, 60°, and 90°.