92+402=c2
18+1600=c2
1618=c2
1618−−−−√ cm = c
(1 point)
Responses
He did not finish the problem. He should have divided 1618 by 2 to find the square root.
He did not finish the problem. He should have divided 1618 by 2 to find the square root.
He should have subtracted the two squares to get 402−92=c2
because numbers get too large if both legs are squared and then added together.
He should have subtracted the two squares to get 40 squared minus 9 squared is equal to c squared because numbers get too large if both legs are squared and then added together.
He did not square 9, he just multiplied by 2.
He did not square 9, he just multiplied by 2.
He should have added 9 + 9 to find the value of 92
.
1 answer
The correct identification of Hans's error is:
He did not square 9, he just multiplied by 2.
In his calculation, he incorrectly used \(9\) as \(9^2\) when he should have calculated it as \(9 \times 9\) to get \(81\). Thus, he misrepresented \(9^2\) and added it to \(40^2\). The correct equation should have been:
\(9^2 + 40^2 = c^2\)
Translating this correctly yields:
\(81 + 1600 = c^2\)
Therefore, \(c^2 = 1681\) and \(c = \sqrt{1681} = 41 \text{ cm}\).
1 answer
1 answer
1 answer
1 answer