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The circumcenter of a triangle is the center of a circle who's radius touches all three of the triangle's vertices. The circumcenter can be found using the intersection of 2 or more perpendicular bisectors. A bisector is a line perpendicular from the mid point of a triangle's line segment.
To find the circumcenter of a triangle, create two bisectors by following these steps:
Steps- With a compass, draw a circle from the first point in the triangle larger then the triangle.
- Draw the same size circle from point two.
- Draw the same size circle from point three.
- Draw a line from the two intersecting points of circle one and two.
- Draw a line from the two intersecting points of circle two and three.
The intersection of the lines from step 4 and 5 will define the circumcenter of the triangle.
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What is the circumcenter theorem?
The circumcenter of a triangle is equidistant from the vertices of a triangle.
What is the circumcenter of a triangle?
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
What triangle is the point of concurrency of the angle bisectors of a triangle?
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
Why is it called circumcenter?
The circumcenter of a triangle is the center of a circle circumscribed around a triangle with each of the vertices of the triangle touching the circumference of the circle.
When does the circumcenter of a triangle fall outside of the triangle?
When the triangle is obtuse.
