If a right triangle has legs that are both 12 cm long, how long is the hypotenuse? Round the answer to the nearest hundredth.(1 point)

Responses

16.97
16.97

288
288

Not enough information is given to solve the problem.
Not enough information is given to solve the problem.

17.0
17.0

1 answer

To find the length of the hypotenuse of a right triangle with both legs measuring 12 cm, you can use the Pythagorean theorem, which states:

\[ c = \sqrt{a^2 + b^2} \]

In this case, both legs \( a \) and \( b \) are 12 cm:

\[ c = \sqrt{12^2 + 12^2} \] \[ c = \sqrt{144 + 144} \] \[ c = \sqrt{288} \] \[ c \approx 16.97 \]

Rounding 16.97 to the nearest hundredth gives you 16.97.

So the correct response is 16.97.