Rosanna calculates that the length of c

Question

is 225 in. What needs to be corrected in her calculation?

(1 point)
Responses

Rosanna mistakenly added the squared hypotenuse with the square of the longest leg instead of adding both squared legs.
Rosanna mistakenly added the squared hypotenuse with the square of the longest leg instead of adding both squared legs.

Rosanna’s answer is right because she correctly applied the Pythagorean Theorem.
Rosanna’s answer is right because she correctly applied the Pythagorean Theorem.

Rosanna forgot to divide the answer she found through the Pythagorean Theorem by 2.
Rosanna forgot to divide the answer she found through the Pythagorean Theorem by 2.

Rosanna should take the square root of the sum when using the Pythagorean Theorem.
Rosanna should take the square root of the sum when using the Pythagorean Theorem.
Remaining Attempts : 3

Answer 1

To determine what needs to be corrected in Rosanna's calculation, we should first clarify how the Pythagorean Theorem is applied. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two legs (a and b):

\[ c^2 = a^2 + b^2 \]

From the options provided, it seems that the most likely correction needed in Rosanna's calculation is:

"Rosanna should take the square root of the sum when using the Pythagorean Theorem."

This is the correct response because, if she correctly calculated \(c^2\) but reported the value of \(c\) without taking the square root, her final answer for \(c\) would be incorrect. She should have taken the square root of the sum \(a^2 + b^2\) to find \(c\).