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Shmoop Study Guides
(Sunnyvale - United States)

Shmoop wants to make you a better lover (of literature, history, poetry and writing). See many sides to the argument. Find your writing groove. Understand how lit and history are relevant today. We want to show your brain a good time.  Our mission: To make  ...

Lesson 26: The Distance and Midpoint Formulas

The lesson begins by associating the distance between two points with the right triangle that may be formed by joining the points and extending horizontal and vertical lines through the points. This linking is generalized to derive the distance formula for any two points in the plane. The midpoint formula is then derived by taking the average of the coordinates of the two points. Using the distance formula, the equation for circle is derived and then examples follow for finding the equation of a given circle.

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