Question

What are the properties of the incenter of a triangle?

Answer 1

Located at intersection of the angle bisectors.

Answer 2

Step-by-step explanation:

We know that, 'Incenter of a triangle' is:

1. The center of the circle drawn inside the triangle which is tangent to the sides of the triangle i.e. it touches the each side the triangle exactly once.

2. The point of intersection of the three angle bisectors of a triangle, where an angle bisector is a line that splits an angle exactly in half.

Hence, the properties of the incenter are:

1. it is the center of the circle drawn inside the triangle.

2. It is the point of intersection of the three angle bisectors of a triangle.

3. Moreover, it is always located inside the triangle.