Hans wanted to find the length of the hypotenuse of the right triangle. Which statement correctly identifies his error?

9^2+40^2=c^2


81+80=c^2


161=c^2


161−−−√ cm = c


(1 point)
Responses

He did not square 40, he just multiplied by 2.
He did not square 40, he just multiplied by 2.

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 should have added 9 + 9 to find the value of 92
.
He should have added 9 + 9 to find the value of 9 squared.

He did not finish the problem. He should have divided 161 by 2 to find the square root.

1 answer

The statement that correctly identifies Hans's error is:

He did not square 40, he just multiplied by 2.

This is because in his calculation, instead of correctly calculating \(40^2\) (which is 1600), he erroneously wrote 80 (which is \(40 \times 2\)). Therefore, the error occurs in the step where he should have squared 40.