Finding the Length of a Side in a Right Triangle

In triangle DEF, the lengths of sides DE and EF are given as 6 cm and 8 cm, respectively. If the angle at vertex E is a right angle, what is the length of side DF?

To determine the length of DF, you can use the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. Mathematically, this is expressed as:

$$a^2 + b^2 = c^2$$

where $c$ is the length of the hypotenuse.