How to Find Orthocenter Given 3 Vertices (Algebraically)

Learn how to find the orthocenter algebraically given 3 vertices of a triangle in this math video tutorial by Mario's Math Tutoring. We discuss what the orthocenter is and how to find it. We make use of the slope equation as well as the point slope form of a line in this lesson to find the orthocenter.

0:16 What is the Orthocenter?
1:08 Find the slope and opposite reciprocal slope
2:00 Write the equation of the altitude using slope intercept form
2:24 Find the 2nd altitude using slope formula
2:52 Use point slope form of the line to find the equation of altitude
3:30 Use substitution to find the point of concurrency of the 2 lines

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