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The image shows a triangle.
Each student in your group should choose one triangle. It’s okay for two students to choose the same triangle as long as all three triangles are chosen by at least one student.
We saw that some quadrilaterals have circumscribed circles. Is the same true for triangles? In fact, all triangles have circumscribed circles. The key fact is that all points on the perpendicular bisector of a segment are equidistant from the endpoints of the segment.
Suppose we have triangle
In this case, the circumcenter happens to fall inside triangle
The circumcenter of a triangle is the intersection point of all three perpendicular bisectors of the triangle’s sides. It is the center of the triangle’s circumscribed circle.
In this diagram, the circumcenter is point
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