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Fence!Aim #10: How do we construct a circumcenter and an incenter?CC Geometry HDo Now: Construct the perpendicular bisector of each side.BPACWhen three or more lines intersect in a single point,
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Locate the incenter by finding the intersection point where the angle bisectors of a triangle meet.
02
Locate the circumcenter by finding the intersection point where the perpendicular bisectors of the sides of a triangle meet.
03
Locate the orthocenter by finding the intersection point where the altitudes of a triangle meet.
04
Find the centroid (or center of mass) of the triangle, known as the centroid or amp, by finding the intersection point where the medians of the triangle meet.

Who needs incenter circumcenter orthocenter amp?

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Mathematicians, geometry enthusiasts, and students studying geometry may need to understand and calculate the incenter, circumcenter, orthocenter, and centroid of a triangle.
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The incenter, circumcenter, orthocenter, and centroid are points associated with a triangle.
Mathematics students or professionals studying or working with triangles.
You can calculate the coordinates of these points using trigonometry and the properties of triangles.
These points help analyze the geometric properties of a triangle and its relationships with other shapes.
The coordinates or geometric properties of the incenter, circumcenter, orthocenter, and centroid.
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