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.

He found the difference between the hypotenuse and the short leg instead of the long leg.

He evaluated incorrectly. It should be .

He evaluated incorrectly. It should be .

He should not have taken the square root of each side to get rid of the exponent.

*see the attachment below showing Lewis' work

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

*He found the difference between the hypotenuse and the short leg instead of the long leg

Step-by-step explanation:

=>Going through the work of Lewis, you'd observe that in the 5th line where Lewis was supposed to simplify √400, he made a mistake by writing 200 instead of 20. The square root of 400 is 20 not 200.

=>Also, the length of the longest leg of the right angled triangle that Lewis is supposed to subtract from the length of the hypothenuse is 16 NOT 12.

The difference between the length of the hypothenuse and the length of the longest Leg = 20 - 16 = 4

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