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Question
1 pythagorean theorem f55 9 mi. 12 mi. what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \boxed{} miles submit work it out not feeling ready yet? t square roots of perfect squares
Step1: Recall Pythagorean theorem
For a right triangle, \( a^2 + b^2 = c^2 \), where \( a = 9 \), \( b = 12 \), and \( c \) is the hypotenuse.
Step2: Substitute values into formula
\( c^2 = 9^2 + 12^2 = 81 + 144 = 225 \)
Step3: Solve for \( c \)
\( c = \sqrt{225} = 15.0 \) (since we need to round to the nearest tenth, and 15 is already a whole number, we write it as 15.0)
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15.0