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

40cm, 9cm, c

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

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.

1 answer

The correct response is:

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

This statement correctly identifies the error in Hans' calculations. When squaring a number, you take the number and multiply it by itself (e.g., \(9^2 = 81\)), rather than multiplying the number by 2.