Question

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 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 square 9, he just multiplied by 2. He did not square 9, he just multiplied by 2. 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.

Answer 1

The correct response to identify 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, the relationship for a right triangle is given by \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse. Hank's steps appear to misrepresent this equation, and specifically, his use of \( 92 + c^2 = 402 \) and subsequent mistakes further indicate he did not properly isolate \( c^2 \).