Final answer:
The equation cannot be solved using the Pythagorean Theorem.
Step-by-step explanation:
The statement that the equation 3 |x - 2| + 6 = 12 can be solved using the Pythagorean Theorem is False.
The Pythagorean Theorem is used to find the length of the hypotenuse of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the two other sides (a and b).
The given equation involves absolute value (|x - 2|) and does not represent a right triangle, so the Pythagorean Theorem is not applicable here.