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 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

If one leg of a 45-45-90 triangle is 7, what is the length of the hypotenuse?

Back

Front

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

Back

Front

What is the formula to find the area of a right triangle?

Back

Front

In a 30-60-90 triangle, if the shorter leg is 5, what is the length of the longer leg?

Back

Front

What is the relationship between the angles and sides in a special right triangle?

Back

The angles determine the ratios of the sides, allowing for quick calculations without using the Pythagorean theorem.