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

92+402=c2


18+1600=c2


1618=c2


1618−−−−√ cm = c


(1 point)
Responses

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 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 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 square 9, he just multiplied by 2.

1 answer

Hans's error is related to his misunderstanding of how to calculate the square of a number. The correct response is:

He did not square 9, he just multiplied by 2.

The correct calculation should show that \( 9^2 = 81 \) and not by adding \( 9 + 9 \). The calculations he performed did not properly reflect the squaring operation needed for the Pythagorean theorem.