Final answer:
The Pythagorean theorem relates the lengths of the legs of a right triangle to the length of its hypotenuse using the equation a² + b² = c². It can be rearranged to solve for the length of the hypotenuse using the formula c = √(a² + b²).
Step-by-step explanation:
The Pythagorean theorem is a mathematical theorem that relates the lengths of the legs of a right triangle to the length of its hypotenuse. It is given by the equation a² + b² = c², where 'a' and 'b' represent the lengths of the legs and 'c' represents the length of the hypotenuse. The theorem can be rearranged to solve for 'c', giving the formula c = √(a² + b²).