Question

Geometry (15)

What are the properties of the incenter of a triangle?

Answer 1

what are the properties of the incenter?

Always inside the triangle

Pont of concurrency of the angle bisectors

the incenter is the same distance from all the sides

All three angle bisectors meet up

Equidistant from the vertices

Always in the triangle

Explanation:

Answer 2

The incenter of a triangle is equidistant from all sides of the triangle

The incenter is the center of the biggest circle that can be drawn in the triangle, and is called incircle

The incircle will be tangent to all sides of the triangle.

Observation:
In an equilateral triangle the incenter, circumcenter, and centroid are all the same