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You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?

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Answer:

Doing it by hand takes longer, and it may not be as accurate. Using the software, you get more accurate results, and it takes a fraction of the time. They are similar because you are basically using the same process both ways, one is just faster. A solid grasp of coordinate algebra allows you to understand how the geometry software works because it makes use of the same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.

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