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. The two most common 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

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

Back

Front

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

Back

Front

If the shorter leg of a 30-60-90 triangle is 4, what is the length of the longer leg?

Back

Front

What is the Pythagorean theorem?

Back

Front

How can you use the Pythagorean theorem to find the length of a side in a right triangle?

Back

To find the length of a side, rearrange the Pythagorean theorem: if you know the lengths of the other two sides, you can solve for the unknown side.

Front

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

Back

In special right triangles, the angles determine the ratios of the lengths of the sides, allowing for quick calculations without needing to use trigonometric functions.