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

92+c2=402

81+c2=1600

1519=c2

1519−−−−√ 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 set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation.
He did not set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation.

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
.

1 answer

The correct statement that identifies Hank's error is:

He did not set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation.

In the context of the Pythagorean theorem, \( a^2 + b^2 = c^2 \), Hank needs to ensure that he correctly sets up the equation to isolate \( c^2 \) as the sum of the squares of the legs of the triangle (not simply manipulating constants).