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rosanna calculates that the length of c is 225 in. what needs to be cor…

Question

rosanna calculates that the length of c is 225 in. what needs to be corrected in her calculation? (1 point)

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 9\), \(b = 12\). So \(9^{2}+12^{2}=c^{2}\), \(81 + 144=c^{2}\), \(c^{2}=225\).

Step2: Solve for \(c\)

Take the square root of \(c^{2}\). Since \(c>0\) (length), \(c=\sqrt{225}\).

Answer:

Rosanna forgot to take the square root. The correct length of \(c\) is \(15\) in.