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)Responses16.9716.97Not enough information is given to solve the problem.Not enough information is given to solve the problem.17.017.0288
If a right triangle has legs that are both 12 cm long, we can use the Pythagorean theorem to find the length of the hypotenuse. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
Let's call the length of the hypotenuse c. Using the Pythagorean theorem, we have:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
Taking the square root of both sides, we find:
c ≈ √288
c ≈ 16.97153706
Rounding the answer to the nearest hundredth, we get the approximate length of the hypotenuse as 16.97 cm.
So, the correct response is 16.97.