Special Right Triangles

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios that make calculations easier. 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

How do you find the length of the hypotenuse in a 45°-45°-90° triangle?

Back

Front

How do you find the length of the longer leg in a 30°-60°-90° triangle?

Back

Front

What is the area of a 45°-45°-90° triangle with legs of length 6?

Back

Front

What is the area of a 30°-60°-90° triangle with a shorter leg of length 4?

Back

Front

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

Back

A 45°-45°-90° triangle is an isosceles right triangle, meaning it has two equal sides and one right angle.

Front

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

Back

A 30°-60°-90° triangle is a scalene triangle, meaning all sides are of different lengths.

Front

If one leg of a 45°-45°-90° triangle is 5, what is the length of the hypotenuse?

Back