The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.
Given:
the 3 angle bisectors of a triangle intersect.
when three angle bisector of a triangle intersect then that point of concurrency is called incenter.
Incenter:
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.
Incenter formula:
= (ax1+bx2+x3 / a+b+c , ay1+by2+y3 / a+b+c).
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