To solve for \( x \) using the steps from the proof of the Pythagorean Theorem, we typically consider a right triangle with legs of lengths \( a \) and \( b \), and hypotenuse \( c \). The Pythagorean theorem states:
\[ a^2 + b^2 = c^2 \]
However, since specific values for \( a \), \( b \), and \( c \) are not provided in your question, I will illustrate how to solve for \( x \) using a potential scenario.
Let's suppose we have a right triangle with:
- Leg \( a = 12 \)
- Leg \( b = 5 \)
To find the hypotenuse \( c \) (which is the value of \( x \) in this scenario):
We apply the Pythagorean theorem:
\[ x^2 = a^2 + b^2 \] \[ x^2 = 12^2 + 5^2 \] \[ x^2 = 144 + 25 \] \[ x^2 = 169 \]
Now, we take the square root of both sides:
\[ x = \sqrt{169} \] \[ x = 13 \]
If we are looking for specific values of \( x \) from your options, please provide the relevant context or the specific lengths of the triangle dimensions you are referring to, so I can determine which option is correct.
However, from your provided options, without additional context or values, I will not be able to select the correct option purely based on the given choices. Please clarify with more details!
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