To identify Hank's error in trying to find the hypotenuse of a right triangle, let's clarify what the Pythagorean Theorem states: \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse.
Hank appears to denote the lengths of the two legs of the triangle as 9 and 18 (since \( 9^2 + 18^2 \) appears to be considered, inferred from the equations), and is trying to solve for \( c \) (the hypotenuse) as demonstrated in the given equations.
Given the potential statements about Hank's error, the most relevant one seems to be:
"He did not set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation."
This is because Hank's equations seem to be incorrectly calculated or might not have properly used the theorem to derive the correct relationship among the sides. The hypotenuse \( c \) should indeed be isolated on one side of the equation to find its length correctly. Other responses regarding squaring or dividing do not address the fundamental error with setting up the theorem.
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