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 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.
He did not finish the problem. He should have divided 161 by 2 to find the square root.
1 answer
The correct statement identifying Hans's error is:
He did not square 40, he just multiplied by 2.
To find the hypotenuse of a right triangle using the Pythagorean theorem, you must square the lengths of the two legs (in this case, 9 and 40) and then add them together. Hans correctly identified the sides as 9 and 40, but he did not properly calculate \(40^2\) (which is 1600) for the equation, impacting his final calculations.
