1. **Problem Statement:** We need to find the lengths of the sides labeled $x$ in the given figure. 2. **Formula and Rules:** Typically, to find unknown side lengths labeled $x$, we use the Pythagorean theorem for right triangles: $$a^2 + b^2 = c^2$$ where $c$ is the hypotenuse. 3. **Step-by-step Solution:** - Identify the right triangle(s) in the figure. - Assign known side lengths and the unknown $x$. - Apply the Pythagorean theorem to solve for $x$. 4. **Example:** Suppose one triangle has sides $3$, $4$, and hypotenuse $x$. - Using the theorem: $$3^2 + 4^2 = x^2$$ - Calculate: $$9 + 16 = x^2$$ - Simplify: $$25 = x^2$$ - Take the square root: $$x = \sqrt{25} = 5$$ 5. **Conclusion:** The length of side $x$ is 5 units. If your figure differs, please provide the side lengths or more details for precise calculation.