Finding the Hypotenuse of a Right Triangle

Consider a triangle where one angle measures 90 degrees. This is known as a right triangle. In this right triangle, the lengths of the two legs are the same, both measuring 5 cm. To find the length of the hypotenuse, you can use the Pythagorean theorem, which states that for any right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

Using the formula: $$a^2 + b^2 = c^2$$, where $c$ is the length of the hypotenuse and $a$ and $b$ are the lengths of the legs, what is the length of the hypotenuse?