High School Math based on the topics required for the Regents Exam conducted by NYSED.
The following diagram shows how to construct the incenter of a triangle. Scroll down the page for more examples and solutions.
How to obtain the Incenter of a Triangle and Circle through construction of the three angle bisectors.
Constructing the Incenter
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. To construct the incenter, first construct the three angle bisectors; the point where they all intersect is the incenter. The incenter is always located within the triangle.
With three angle bisectors, you construct an Incenter. An incenter is the center of a circle which can be drawn inscribed inside a triangle (just barely touching the three sides)
Construct the Incenter of a Triangle
Incenter of a Triangle
This video describes the construction of the incenter of a triangle and explores its properties.
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