If a right triangle has legs that legs that are both 12 cm long how long is the hypotenuse? Round the answer to the nearest hundredth
Since it is a right triangle, we can use the Pythagorean theorem to calculate the length of the hypotenuse. The Pythagorean theorem states that in any 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 of the right triangle are both 12 cm long. Let's call the length of the hypotenuse "c".
Applying the Pythagorean theorem:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of the hypotenuse, we take the square root of both sides:
c = √288
Now, let's round this answer to the nearest hundredth:
c ≈ 16.97 cm
Therefore, the length of the hypotenuse is approximately 16.97 cm.