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

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

17.0
17.0

288

1 answer

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the length of the legs is given as 12 cm each.

Let's use the Pythagorean theorem to find the length of the hypotenuse:

hypotenuse^2 = leg1^2 + leg2^2

hypotenuse^2 = 12^2 + 12^2
hypotenuse^2 = 144 + 144
hypotenuse^2 = 288

To find the length of the hypotenuse, we need to find the square root of 288:

hypotenuse = √288 ≈ 16.97 cm

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