Consider a right triangle with one leg measuring 6 units and the other leg measuring 8 units. Calculate the length of the hypotenuse of this triangle.
Use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse ($c$) is equal to the sum of the squares of the lengths of the other two sides ($a$ and $b$). This relationship is given by the equation:
$$c^2 = a^2 + b^2$$
Substituting the values of the legs into the equation will allow you to find the length of the hypotenuse.