- { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }
- Given a right triangle, the sum of the squares of the side lengths of { a } and { b }, is equal to the square of side { c }, which is called the Hypotenuse.
- Application: Determining the length of a side of a right triangle given the length of the other two sides of the same right triangle.
- Application: Verifying that a triangle is a right triangle given all side lengths of that triangle.
- Application: Derivation of the Distance Formula