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Angle bisector:
A line, line segment or ray that divides the angle into two equal angles is the angle bisector.
The point of concurrence of the three angle bisectors of the triangle is the incentre of the triangle.
Whyis it called the incentre?
With the incentre as the centre, we can construct a circle such that the circle touches all three sides of the triangle internally.
Consider the figure given below for a better understanding.