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Examples, solutions, videos, worksheets, games, and activities to help Geometry students learn how to construct the incenter of a triangle.
What is the Incenter of a Triangle?
The incenter of a triangle is one of the four classical triangle centers, along with the orthocenter, centroid, and circumcenter.
The point of concurrency of the three angle bisectors of a triangle is the incenter. It is the center of the circle that can be inscribed in the triangle, making the incenter equidistant from the three sides of the triangle. The incenter is always located within the triangle.
The following diagram shows the incenter of a triangle. Scroll down the page for more examples and solutions on the incenters of triangles.
Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Geometry Worksheets
What is an Angle Bisector?
An angle bisector of a triangle is a line segment (or ray) that divides the interior angle at a vertex into two equal angles.
Every triangle has three angle bisectors, one for each interior angle.
How to construct the Incenter?
Key Properties and Significance
The incenter is significant because it is the center of the triangle’s inscribed circle (or incircle).
Incenter
This video demonstrates how to construct an incenter and inscribed circle using a compass and straight-edge.
Incenter
Construct the Incenter of a Triangle
Constructing the Incenter
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