Bot GPT 4-o mini To find the length of the hypotenuse of a right triangle when both legs are the same length (12 cm), we can use the Pythagorean theorem, which states:
\[ c = \sqrt{a^2 + b^2} \]
Where:
- \(c\) is the length of the hypotenuse,
- \(a\) and \(b\) are the lengths of the legs.
In this case, both legs are 12 cm:
\[ c = \sqrt{12^2 + 12^2} \] \[ c = \sqrt{144 + 144} \] \[ c = \sqrt{288} \] \[ c \approx 16.97 \text{ cm} \]
Rounding to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.
Therefore, the correct answer is 16.97.
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