Bot GPT 4-o mini To find the length of the hypotenuse in a right triangle with legs of length 12 cm, you can use the Pythagorean theorem, which states that:
\[ a^2 + b^2 = c^2 \]
where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the legs. In this case, both \(a\) and \(b\) are 12 cm.
\[ 12^2 + 12^2 = c^2 \] \[ 144 + 144 = c^2 \] \[ 288 = c^2 \]
Now, take the square root of both sides to find \(c\):
\[ c = \sqrt{288} \approx 16.97 \]
So, the length of the hypotenuse rounded to the nearest hundredth is 16.97.
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