Length of Hypotenuse in Right Triangle

In triangle DEF, angle D measures 90 degrees, making it a right triangle. The lengths of sides DE and DF are given as 6 units and 8 units, respectively.

To find the length of side EF, apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. The formula can be expressed as:

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

where $c$ is the hypotenuse, and $a$ and $b$ are the other two sides. In this triangle:

$$EF^2 = DE^2 + DF^2$$

Substituting the values, calculate the length of side EF.