To find the length of the hypotenuse \( c \) of a right triangle with legs \( a \) and \( b \) of lengths 12 cm each, you can use the Pythagorean theorem, which states:
\[ c = \sqrt{a^2 + b^2} \]
For this triangle:
\[ a = 12 \quad \text{and} \quad b = 12 \]
Substituting the values:
\[ c = \sqrt{12^2 + 12^2} \] \[ c = \sqrt{144 + 144} \] \[ c = \sqrt{288} \] \[ c \approx 16.97 \]
Rounded to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.
So, the correct response is 16.97.
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