Question

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12 m
9 m
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = meters
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Explanation:

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

\( 9^2 + 12^2 = c^2 \)
\( 81 + 144 = c^2 \)
\( 225 = c^2 \)

Step3: Solve for \( c \)

Take square root of both sides: \( c = \sqrt{225} = 15 \)

Answer:

15