 Pythagorean theorem

For a right triangle with perpendicular side lengths $a,b$ and hypotenuse $c$, the Pythagorean theorem states $a^2+b^2=c^2$.

The Pythagorean theorem is a fundamental principle in geometry that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.