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
17.0
17.0
Not enough information is given to solve the problem.
To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the legs are both 12 cm long. So, we can calculate the length of the hypotenuse using the formula:
hypotenuse^2 = leg1^2 + leg2^2
Substituting the values:
hypotenuse^2 = 12^2 + 12^2
hypotenuse^2 = 144 + 144
hypotenuse^2 = 288
To find the length of the hypotenuse, we take the square root of both sides:
hypotenuse = sqrt(288)
Using a calculator, we find:
hypotenuse ≈ 16.97
Rounded to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.
So, the correct answer is: 16.97