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

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

17.0
17.0

288
288

16.97

1 answer

To find the length of the hypotenuse of a right triangle with legs that are both 12 cm long, you can use the Pythagorean theorem:

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

where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the legs. In this case:

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

Calculating \( \sqrt{288} \):

\[ \sqrt{288} \approx 16.97 \]

Therefore, the length of the hypotenuse is approximately 16.97 cm.

So, the correct answer is 16.97.