How to Find Circumcenter Given 3 Vertices (Algebraically)

Learn how to find the circumcenter given 3 vertices of a triangle algebraically in this math video tutorial by Mario's Math Tutoring. We discuss what the circumcenter is and how to find it. This particular problem involves using the midpoint formula, slope formula, perpendicular slope, and point slope form of a line.

0:09 What is the Circumcenter?
0:55 Significance and applications of the circumcenter
1:26 Find the midpoint of the side
2:17 Find the Slope of the side
2:45 Find the perpendicular slope
3:07 Use Point Slope Form of a Line to write equation of perpendicular bisector.
3:58 Find the Midpoint of a second side of the triangle
4:31 Find the slope of the second side
4:53 Find the Perpendicular slope of the second side
5:00 Write the equation of the perpendicular bisector
5:44 Using substitution to solve the system of equations and find the circumcenter

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