A Brief History of Science/The Role of Mathematics in Science Homework

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According to the Pythagorean Theorem, if we know the lengths of two sides of a right triangle, then we can calculate the length of the third side. We know the lengths of the yellow sides. We want to find the length of the red side; let's use the Pythagorean Theorem to find it.

We just found that you ended up 5 meters from where you started. Later, when we discuss position, distance, and displacement, you will see that we just found the magnitude of your

__displacement__over the entire trip.