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 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 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

The correct statement that identifies Hans's error is:

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

The correct way to find the hypotenuse \(c\) of a right triangle using the Pythagorean theorem is to square each leg, then sum those squares, and finally take the square root to find the hypotenuse. In his steps, it seems he incorrectly used the leg length of 9 by multiplying by 2 instead of squaring it (since \(9^2 = 81\)).