Question
ank 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 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 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 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.
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 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 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.
Answers
GPT-4o mini
The correct response is:
**He did not set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation.**
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c²) is equal to the sum of the squares of the lengths of the other two sides (a² + b²). Thus, it should have been set up as \(c^2 = a^2 + b^2\), not the way it was presented in the first equation.
**He did not set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation.**
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c²) is equal to the sum of the squares of the lengths of the other two sides (a² + b²). Thus, it should have been set up as \(c^2 = a^2 + b^2\), not the way it was presented in the first equation.