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

Question

92+c2=402

81+c2=1600

1519=c2

1519−−−−√ cm = c

(1 point)
Responses

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 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
.

Answer 1

The correct statement identifying 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 (a² + b² = c²), Hank appears to have made mistakes in his algebraic manipulations, leading to incorrect equations and results. The hypotenuse should indeed be isolated correctly to find its actual length.