Final answer:
The length of side x in the right triangle can be found using the Pythagorean theorem. It is equal to √(c² - 3) in simplest radical form with a rational denominator.
Step-by-step explanation:
The length of side x in the right triangle can be found using 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. In this case, side FO is given as √3. Let's designate side FO as the length of one of the legs of the triangle. This means that x will be the length of the other leg.
Using the Pythagorean theorem, we have (x² + (√3)²) = c², where c represents the length of the hypotenuse. Simplifying, we get x² + 3 = c².
To find the value of x, we need to rearrange the equation and solve for x. Subtracting 3 from both sides of the equation, we get x² = c² - 3. Taking the square root of both sides, we have x = √(c² - 3).
Therefore, the length of side x is √(c² - 3) in simplest radical form with a rational denominator.