SOLUTION: I don't quite understand how to get the orthocenter/circumcenter of a triangle when I am given three points. What are the formulas needed for each of these. Thanks!
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Question 560807: I don't quite understand how to get the orthocenter/circumcenter of a triangle when I am given three points. What are the formulas needed for each of these. Thanks! Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! Recall that the orthocenter is the intersection of the altitudes of the triangle formed by those three points, and the circumcenter is defined to be the center of the triangle's circumscribed circle.
I don't really know of a formula for finding the coordinates of the orthocenter/circumcenter given the three vertices of a triangle. I'm sure it's possible to derive a formula for them (since the orthocenter and circumcenter are uniquely determined) but you can search on Google or Wikipedia if you're interested.