In triangle DEF, angle D measures 90 degrees. The lengths of side DE and side DF are 6 units and 8 units respectively. Calculate the length of side EF.
To find the length of side EF, you can apply the Pythagorean theorem, which states that for a right triangle, the square of the hypotenuse (side opposite the right angle) is equal to the sum of the squares of the other two sides. Mathematically, this can be represented as:
$$ c^2 = a^2 + b^2 $$
where $c$ is the length of the hypotenuse, and $a$ and $b$ are the lengths of the other two sides.