To find \( x \) using the steps from the proof of the Pythagorean Theorem, you typically would start by applying the relationships between the sides of the triangle and the segments created by the altitude. However, since I do not have access to the specific image you are referring to, I can't calculate \( x \) directly.
Generally, in a right triangle, if \( a \) and \( b \) are the lengths of the legs, and \( c \) is the length of the hypotenuse, the Pythagorean theorem states:
\[ a^2 + b^2 = c^2 \]
If you have specific values or relationships presented in the image that gives the segments in relation to \( x \), please provide those details. Otherwise, I can't determine \( x \) from the information given in your question. You can analyze the choices presented by substituting the values of \( x \) back into any derived relationships to see which one holds true based on the triangle's geometry. If you provide more context or numerical values, I'd be glad to assist further!