Which equation can be used to find the length of the remaining side of a right triangle with a hypotenuse of 14 units and one side of 9 units?

To determine the length of the remaining side of a right triangle when the hypotenuse and one side are known, the Pythagorean theorem is used. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The typical formula is expressed as:

hypotenuse² = side₁² + side₂².

In this scenario, you have a hypotenuse measuring 14 units and one of the sides measuring 9 units. Let's denote the unknown side as ( x ). According to the Pythagorean theorem, you can set up the equation as follows:

14² = 9² + x².

Rearranging this to solve for ( x² ) leads to:

x² = 14² - 9².

This formulation corresponds to the correct choice, as it isolates the square of the unknown side on one side of the equation while ensuring that the squares of the known lengths are correctly accounted for.

Choosing the other options would not be appropriate for finding the length of the remaining side of the triangle. For instance, subtracting the hypoten