Aright triangle has legs that are 16 inches and 20 inches long. what is the length of the hypotenuse? enter your answer as a decimal in the box. round your answer to the nearest hundredth.

To find the hypotenuse, you have to square each leg, add them together, and you will get the hypotenuse squared.
16×16= 256
That is one leg squared.
20×20= 400
400+256= 656
We have to find the square root of 656 to find the hypotenuse.
√656≈ 25.61
The hypotenuse is 25.61 inches.

The Pythagorean theorem states that a^2 + b^2 = c^2 (a and b are the two legs, and c is the hypotenuse). We can use this theorem to solve the problem!

We can represent a with 16 and b with 20:
(16)^2 + (20)^2 = c^2       16^2 = 256   and   20^2 = 400
256 + 400 = c^2 >    656 = c^2
Now we have to figure out what the square root of 656 is, (a really long and complicated process I will spare you having to figure out.) and the answer is:
c = 25.612    So the length of the hypotenuse (rounded to the nearest hundredth) is 25.612.

What’s the equation you are trying to solve to get x?