Special Right Triangles & Pythagorean Theorem

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios, such as the 30-60-90 triangle and the 45-45-90 triangle.

Front

In a 30-60-90 triangle, what is the ratio of the lengths of the sides?

Back

The ratio of the lengths of the sides is 1 : √3 : 2, where 1 is the length of the short leg, √3 is the length of the long leg, and 2 is the length of the hypotenuse.

Front

In a 45-45-90 triangle, what is the ratio of the lengths of the sides?

Back

The ratio of the lengths of the sides is 1 : 1 : √2, where the legs are equal and the hypotenuse is √2 times the length of each leg.

Front

What is the Pythagorean Theorem?

Back

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

Front

What is the square root of a number?

Back

Front

How do you find the long leg in a 30-60-90 triangle if the short leg is 4?

Back

Front

Back

Front

If the hypotenuse of a 45-45-90 triangle is 10, what is the length of each leg?

Back

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root of that number.