Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. his work is shown below. what errors did lewis make? check all that apply

He simplified    incorrectly. It should be 20 instead of 200.

Step-by-step explanation:

Lewis made a mistake on the 5th line of his solution.

Square root of 400 is 20, NOT 200.

So the answer for would be 20.

And the difference between hypotenuse (20) and longer leg of the two (16) is

First answer choice is correct one.

All the options that show the errors made by Lewis are;

A: He simplified √400 incorrectly. It should be 20 instead of 200

B: He found the difference between the hypotenuse and the shorter leg instead of the longer leg.

The first steps Lewis took is;

12² + 16² = c²

144 + 256 = c²

400 = c²

√400 = c

200 = c

Difference = 200 - 12

Looking at his steps, the first error he made is that he simplified √400 incorrectly. It should be 20 instead of 200

The second error is that the difference is supposed to be with the longer leg which is 16 but instead he used the shorter leg which measures 12.

Read more on Pythagorean theorem at; link