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)

Answer 1

To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which 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 other two sides.

In this case, the lengths of the legs are both 12 cm. Let's call the hypotenuse "c" and set up the equation:

c² = 12² + 12²

c² = 144 + 144

c² = 288

Now, we can find the square root of both sides to solve for c:

c = √(288)

c ≈ 16.97

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