Mathematics

Porter Benjamin

17 September, 23:18

Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below. Triangle A B C. Side B C is 16 and side A C is 12. Hypotenuse A B is labeled c. 12 squared + 16 squared = c squared. 144 + 256 = c squared. 400 = c squared. StartRoot 400 EndRoot = c. 200 = c. Difference: 200 minus 12 = 188. What errors did Lewis make? Check all that apply. He simplified StartRoot 400 EndRoot 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 12 squared incorrectly. It should be 12 (2) = 24. He evaluated 16 squared incorrectly. It should be 16 (2) = 32. He should not have taken the square root of each side to get rid of the exponent.