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

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.