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. 288 288 17.0 17.0 16.97 choose

Answer 1

To find the length of the hypotenuse in a right triangle, 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.

Let's denote the length of one leg as a and the length of the other leg as b, and the length of the hypotenuse as c.

In this case, we are given that both legs are 12 cm long, so a = b = 12 cm.

Using the Pythagorean theorem, we can write:

c^2 = a^2 + b^2

c^2 = 12^2 + 12^2

c^2 = 144 + 144

c^2 = 288

To solve for c, we need to take the square root of both sides:

c = √288

Using a calculator, we find that √288 ≈ 16.97.

Rounding to the nearest hundredth, the length of the hypotenuse is 16.97 cm.

Therefore, the answer is 16.97.