The statement that correctly identifies Hans' error is:
He did not finish the problem. He should have divided 1618 by 2 to find the square root.
This is incorrect because to find the hypotenuse, he should have taken the square root of 1618, not divided by 2. However, let’s clarify the correct process.
The correct method to find the hypotenuse \( c \) would involve:
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Squaring the lengths of the legs:
- \( 9^2 = 81 \)
- \( 40^2 = 1600 \)
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Adding those squares:
- \( 81 + 1600 = 1681 \)
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Taking the square root of the sum to find \( c \):
- \( c = \sqrt{1681} \)
- \( c = 41 \) cm
He did not calculate the squares correctly or the sum before taking the square root, and the error was that he used 92 instead of correctly calculating \( 9^2 \).
Therefore, the most accurate error identification should be:
He should have added \( 9^2 + 40^2 \) to find the value of \( c^2 \).
None of the response options provided accurately describe his specific error.
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