92+402=c2
81+80=c2
161=c2
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 correct identification of Hans's error is:
He did not square 40, he just multiplied by 2.
This indicates that he made an error in calculating \(40^2\) since he only multiplied the value by 2 rather than properly squaring it. In a right triangle, to find the length of the hypotenuse \(c\), you should use the Pythagorean theorem: \(a^2 + b^2 = c^2\). In this case, he should have calculated \(9^2 + 40^2\) correctly.
