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. 170
2. 288
3. Not enough information is given to solve the problem
4. 16.97

1 answer

The length of the hypotenuse in a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the lengths of both legs are 12 cm. Therefore, using the Pythagorean theorem, we can calculate the length of the hypotenuse:

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

Taking the square root of both sides, we find:

hypotenuse = √288 ≈ 16.97

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

The correct answer is 4. 16.97.