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

92+402=c2

81+80=c2

161=c2

161−−−√ cm = c
(1 point)
Responses

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

The correct statement that identifies Hans' error is:

**He did not square 40; he just multiplied by 2.**

The calculation for the hypotenuse \(c\) using the Pythagorean theorem should have been:

\( 9^2 + 40^2 = c^2 \)

This means he should have calculated \( 9^2 = 81 \) and \( 40^2 = 1600 \), thus:

\( 81 + 1600 = c^2 \)

From there, he would need to solve for \(c\), which would involve taking the square root of the resulting sum. His mistake lies in not properly squaring 40 but instead miscalculating it.